diff --git a/doc/preauth-payments.md b/doc/preauth-payments.md
index 4c41f6f..da7fa79 100644
--- a/doc/preauth-payments.md
+++ b/doc/preauth-payments.md
@@ -43,8 +43,7 @@ match ($result->getState()) {
 
 You may capture less than the originally preauthorized amount, but never more.
 
-**Note about V2 API:**
-The V2 API supports asynchronous payment processing:
+The API supports asynchronous payment processing:
 - State `paid` means immediate success
 - State `waiting_for_confirmation` means the payment is being processed asynchronously
 - You will receive a notification when the async payment completes (state changes to `paid` or `preauth_cancelled`)
diff --git a/doc/saving-authorization.md b/doc/saving-authorization.md
index d1f3b5e..2f0100a 100644
--- a/doc/saving-authorization.md
+++ b/doc/saving-authorization.md
@@ -33,16 +33,17 @@ use ThePay\ApiClient\Model\RecurringPaymentResult;
 
 /** @var \ThePay\ApiClient\TheClient $thePayClient */
 
-// First parameter: UID of the new (child) payment
-// Second parameter: amount in cents (required)
-// Third parameter: currency code (required)
-$params = new \ThePay\ApiClient\Model\RealizePaymentBySavedAuthorizationParams('childpayment', 1000, 'EUR');
+$params = new \ThePay\ApiClient\Model\RealizePaymentBySavedAuthorizationParams(
+    'uid_childpayment', // UID of the new (child) payment
+    1000,               // Amount in cents
+    'EUR'               // Currency code
+);
 
-// adding items is optional, if you do not add any item, items from parent payment will be used
+// Items are optional; if none are added, the items from the parent payment are reused
 $item = new \ThePay\ApiClient\Model\CreatePaymentItem('item', 'Server setup', 1000, 1);
 $params->addItem($item);
 
-// First parameter: UID of the parent payment (one created with saveAuthorization=true)
+// First parameter: UID of the parent payment (created with saveAuthorization=true)
 // The method returns RecurringPaymentResult
 $result = $thePayClient->realizePaymentBySavedAuthorization('uid_savedauthtest', $params);
 
@@ -51,25 +52,23 @@ match ($result->getState()) {
         echo 'Payment was realized using saved authorization',
 
     RecurringPaymentResult::STATE_WAITING_FOR_CONFIRMATION =>
-        echo 'Payment is being processed, you will receive a notification when complete',
+        echo 'Payment is being processed; you will receive a notification when it completes',
 
     RecurringPaymentResult::STATE_ERROR =>
-        echo 'Payment was not realized',
+        echo 'Payment could not be realized',
 };
 
-// Check if more payments can be realized with this saved authorization
+// Determine whether the saved authorization can still be used for future payments
 if (!$result->isRecurringPaymentsAvailable()) {
     // Saved authorization is no longer valid, customer needs to authorize a new payment
-    echo 'Saved authorization is no longer valid, customer needs to authorize a new payment';
+    echo 'Saved authorization is no longer valid; the customer must authorize a new payment';
 }
 ```
 
-**Note about V2 API:**
-The V2 API introduces several important changes:
-- **Amount and currency are now required** - you must always specify both parameters
-- **Asynchronous processing**: Payment may have these states:
-  - `paid` - Payment realized successfully
-  - `error` - Payment realization failed
-  - `waiting_for_confirmation` - Payment is being processed asynchronously
-- **Parent availability tracking**: Check `isRecurringPaymentsAvailable()` to know if the saved authorization is still valid
+The API supports asynchronous payment processing, with the following states:
+- `paid` - Payment realized successfully
+- `error` - Payment realization failed
+- `waiting_for_confirmation` - Payment is being processed asynchronously
 - You will receive a notification when async payments complete (state changes to `paid` or `error`)
+
+**Saved authorization availability:** Check `isRecurringPaymentsAvailable()` to check if the saved authorization can still be used for future payments.
diff --git a/doc/subscription.md b/doc/subscription.md
index e5576f8..48b260a 100644
--- a/doc/subscription.md
+++ b/doc/subscription.md
@@ -43,6 +43,15 @@ echo $payment->getPayUrl(); // https://demo.gate.thepay.cz/5aa4f4af546a74848/pay
 
 After the parent payment is paid, you may charge the customer again using one of the three subscription realization types.
 
+The API supports asynchronous payment processing:
+- State `paid` means immediate success
+- State `error` means immediate failure
+- State `waiting_for_confirmation` means the payment is being processed asynchronously
+- You will receive a notification when the async payment completes (state changes to `paid` or `error`)
+
+**Subscription availability:** Always check `isRecurringPaymentsAvailable()` to check if the subscription can still be used for future payments.
+
+
 ### Realizing a Regular (Fixed Interval & Fixed Amount) Subscription
 
 ```php
@@ -72,21 +81,12 @@ match ($result->getState()) {
         echo 'Payment was not realized',
 };
 
-// Check if more payments can be realized with this parent
+// Check if more payments can be realized under this parent payment
 if (!$result->isRecurringPaymentsAvailable()) {
-    // No more payments can be realized with this parent, inform customer to create new subscription
-    echo 'Saved authorization is no longer valid, customer needs to authorize a new payment';
+    // No more payments can be realized under this parent payment; inform the customer to create a new subscription
 }
 ```
 
-**Note about V2 API:**
-The V2 API supports asynchronous payment processing:
-- State `paid` means immediate success
-- State `error` means immediate failure
-- State `waiting_for_confirmation` means the payment is being processed asynchronously
-- You will receive a notification when the async payment completes (state changes to `paid` or `error`)
-- Always check `isRecurringPaymentsAvailable()` to know if the subscription should end
-
 ### Realizing an Irregular (Variable Interval & Fixed Amount) Subscription
 
 ```php
@@ -116,10 +116,9 @@ match ($result->getState()) {
         echo 'Payment was not realized',
 };
 
-// Check if more payments can be realized
+// Check if more payments can be realized under this parent payment
 if (!$result->isRecurringPaymentsAvailable()) {
-    // Parent payment no longer available for new subscriptions
-    echo 'Parent payment no longer available for new subscriptions';
+    // No more payments can be realized under this parent payment; inform the customer to create a new subscription
 }
 ```
 
@@ -154,9 +153,8 @@ match ($result->getState()) {
         echo 'Payment was not realized',
 };
 
-// Check if more payments can be realized
+// Check if more payments can be realized under this parent payment
 if (!$result->isRecurringPaymentsAvailable()) {
-    // Parent payment no longer available for new subscriptions
-    echo 'Parent payment no longer available for new subscriptions';
+    // No more payments can be realized under this parent payment; inform the customer to create a new subscription
 }
 ```