Hi @Michael_Soprano - I don't think there is a concept of recognized profile expiration in AEP. If you want to delete a recognized profile in AEP after a certain timestamp then you can write a customer script to call delete entity api to delete the profile in AEP.
The only usecase i have seen till now is to delete anonymous profile that gets ingested due to web browsing, for handling that Pseudonymous profiles and experience events expiration is enough.
Thanks,
Arpan