I cannot find the backup of my pictures anywhere.
I backed up my pictures on my icloud backup and deleted them on my phone. I cannot find the backup anywhere.
iPhone 13 Pro Max, iOS 15
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iCloud Photos is a syncing service. Any photo you delete from a device where iCloud Photos is turned on will also be deleted from iCloud and from any other device connected to iCloud Photos. You can potentially reduce the storage space required on a device by turning on Optimize Storage. See: Set up and use iCloud Photos - Apple Support
Apple does not currently offer cloud-only storage for photos. If that is what you want or need, you may want to explore 3rd party options such as Google Photos or Dropbox.
Another way that photos may be on iCloud (if you don’t have iCloud Photos turned on) is via a backup of an iOS device. The only thing you can do with a backup is use it to restore a device or set up a new device. The contents of backups are not viewable at iCloud.com and if you delete a photo from a device it will not be included in future backups and will be lost.
If you didn't have iCloud Photos turned on and if you did an iCloud Backup and then recently deleted the photos from the phone, you can do a complete restore (not just photos) of the phone from the backup. See: Restore your iPhone, iPad, or iPod touch from a backup - Apple Support