How to recover deleted videos on Apple device?

"Can you recover deleted videos?"

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Perhaps. To be able to recover it, you'd need to back a backup of it, accessible from another source. Without a backup, it's just gone.

Troubleshooting Lost Photos and Videos:

Loss of data is something you would have agreed to upon opening an Apple Account. So, if the following does not work, then they are gone. That's just the way it is :(

Four Tactics to Try:

A. Start here: If you're Missing Photos or Videos in the Photos app - Apple Support

B. Check iCloud, Directly:

For Photos: Go here, and see if they reside in iCloud: https://www.icloud.com/photos

C. Restore your iPhone from a Backup:

Have any backups of this iPhone prior to this occurrence? If so, restore your iPhone from one that has these photos (the most recent backup, ideally). If not, then take this as a learning experience, knowing to always back up your device for recovery purposes. Important: Back up you iPhone prior to performing this restoration, should anything go wrong from here on out.

D. Where Else to Check:

1. PC
2. PDA
3. eMail
4. Mac Device
5. Cloud Storage
6. Android Phone
7. USB Flash Drive
8. External Hard drive
9. Secure Digital Card
10. Compact Flash Card

"Can you recover deleted videos?"

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Recovering Deleted Videos:

See all that is mentioned here, at this Apple Support Community thread: Restore deleted photos on iPhone after iCloud backup erased them - Apple Community