Yes,it possible to see the old messages which have been deleted,the deleted messages can be retrieve within 48 hours by the cell phone companies. the deleted messages can be retrieved anytime if the cell phone having SIM cards. The service provider of cell phone can give the deleted messages from cell phones if necessary.
Even after your messages are deleted, they are moe than likely still on file at your providers database. However, it is more than likely that if you contacted them, they would not access that information for you. Trillions of text messages are sent a day, so it is more than likely your messages will be deleted shortly.
The service provider does keep the texts but it is very difficult to get them. Under certain circumstances you need a court order or the permission from the person who uses the phone. They only keep them for a few months.
It is not possible to see deleted text messages. Service providers do not store your text or multimedia messages. They only store the time and type of message, not the content. Once you remove the message from your phone the message is gone for good and it can not be retrieved.