What does mean «This transaction cannot be processed» exception in vendor/magento/module-paypal/Model/Payflowlink.php for a PayPal payment?

Look at the exception’s code point:

As you can see, the reason of the exception is the transaction decline on the PayPal side.

You can look for the exact error code and message in the exception.log file.
A message has the following format:

exception ‘Magento\Framework\Exception\LocalizedException’ with message ‘<error short name>: <error code>-<error description>’ in vendor/magento/module-paypal/Model/Payflowlink.php:

For example:

exception ‘Magento\Framework\Exception\LocalizedException’ with message ‘CVV2 Mismatch: 15004-This transaction cannot be processed. Please enter a valid Credit Card Verification Number.’ in vendor/magento/module-paypal/Model/Payflowlink.php:388

You can look for an error code’s exmplanation in the official PayPal «API Error and Warning Codes» reference.

For example: