If we mistake the messages (SMS or IMESSAGES) it is good to know how to recover the deleted messages on the iPhone. In the deleted messages can be important information that we must recover, pictures, video, documents or other files incurred by IMessage. (See What is the difference between SMS and Imessage).
iOS 16 brought many new features, including the possibility SA edit / Let's correct the messages sent, to delete them from the recipient If I ship them by mistake or Let's mark them as unread.
- How to edit the text messages sent from Mac - Imesages Tips
- How we edit, delete or mark as unread the immesage messages in iOS 16 [Messages]
Another feature of iOS 16 It is the possibility of recovering the deleted messages. The messeges deleted conversations (SMS / IMSESAGE) are kept for 40 days, after which they are permanently deleted. The user has the opportunity to recover the deleted conversations from the iPhone following a few simple steps.
How to recover the messages deleted from iPhone (SMS and IMSESAGES)
First of all, if you have Syncing and saved conversations in iCloud, what is recommended, the messages deleted from the iPhone will be automatically deleted from all the devices we have authenticated by iCloud. Of course those devices have activated the synchronization in iCloud of conversations.
Until iOS 16 the deleted conversations could not be recovered. There is no method of recovering the messages deleted from iPhone to iOS 16.
Starting with iOS 16, the deleted messages are moved to an archive separate from the list of conversations, where they are kept up to 30 days. During which the user can recover the deleted conversations, regardless of whether they are SMS, MMS or Imassage.
After we delete the messages on the iPhone, we are notified in the first phase that they will be deleted from all devices (This conversation will be deleted from all of our devices.) then that messages are moved for 30 days in Recently Deleted.

Let's see how we recover the deleted messages from the iPhone, from Recently Deleted.
1. In the list of conversations in Messages We go to the top to “Edit“ then at Show Recently Deleted.

2. In Recently Deleted We have the list of deleted conversations. For each conversation it shows us how many messages can be recovered and how many days are left. We select conversation that we want to recover, then press “Done”.

Apple I think are not yet determined if the deleted conversations will be kept 30 or 40 days. “Conversations show the days remaining before deletion. After that time, messages will be permanently deleted. This may take up to 40 days.”.
However, we are talking about a beta version of iOS 16, and up to the final version it is possible to establish exactly if there are 30 or 40 days when we can recover the messages deleted from the iPhone.
3. We confirm that we want to recover the messages from the selected conversation.

That's how I saw how we recovered the deleted messages from the iPhone. Conversation will appear again in the list of Messages.
In the same way we can recover the deleted messages from the iPad. The condition is to have iPados 16 or a newer version.
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