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they are looking for specific ones that are in a database
They could be looking for any images without your knowing - there’s no guarantee that those images came from a CSAM database.
Its not like they can create a hash for a guy letting his dog on a horse
They could trivially create a hash for a picture of a guy letting his dog on a horse (which would also include other very similar images).
I didn’t necessarily mean to claim that they can scan for a concept lacking a fixed image, if that’s what you’re saying. That would theoretically be possible with enough hashes, but impractical.