|Bosscat the tilde in front of the file, in your situation, is a temp file that should have been deleted when the program making it exited but did not delete the file.|
This is not to be confused with viewing the drive with a hex editor and seeing files with tildes in front of them. In this case this is an example of a deleted file whose space has been marked as available.
Since its been nine months since these files were possibly deleted, I don't believe you would have any chance of recovery with a data recovery software. That operation has to happen as soon as possible after the deletion if there is any hope of recovery.
There is NO recovery for overwritten files since overwriting occupies the same space, more or less, the original did.
Still no word on the backup restore???
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