Retreva only allows one active reply action per contact. So, if a contact was in Cycle and then is in Remove, it will only show up in the Remove sub inbox but the entire history is still available.
Meeting is the one exception. All meetings are locked down to track the effectiveness of Retreva and your ROI. So, if you use Cycle after a Meeting has been set. The contact will show in the Opportunity AND Remove sub inboxes.