azure storage queue message live time

When adding a message, users specify a time to live (< 7 days) after which the message is automatically deleted if it still exists in the queue.

Maybe you need to use Windows Azure Service Bus Queue. Take a look at a great comparison between the two Queues available at Azure:

http://msdn.microsoft.com/en-us/library/windowsazure/hh767287.aspx

You can now opt-in to infinite TTL for Azure Storage Queue messages by specifying an expiry time of -1 seconds when initially queuing the message.

The time-to-live interval for the message, in seconds. Prior to version 2017-07-29, the maximum time-to-live allowed is 7 days. For version 2017-07-29 or later, the maximum time-to-live can be any positive number, as well as -1 indicating that the message does not expire. If this parameter is omitted, the default time-to-live is 7 days.

https://docs.microsoft.com/en-us/rest/api/storageservices/put-message#uri-parameters

Yes, you understood it correctly. Messages from queues are deleted automatically within 7 days time and there is nothing called 're-newed'. Once inserted into the queue storage, it will be deleted automatically and there is no way you can recover it back(there are no recovery tools either).