I put a bunch of aipstasia in my sump to help filter the water a few weeks ago. So far, almost all of them have moved away from where they were originally placed. One even spent a few days on a pantyhose carbon bag. They seem to like being close to the surface.
I've got a Peppermint shrimp in my display tank to prevent the aipstasia from spreading in there. It sure did the trick on the small aipstasia that came free with a few frags I've picked up over the last few months.

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