Keep current published CPT live until pending edit approved

We have a CPT were the posts can be edited by the logged in author. We need to approve the changes before placed it is placed live (published). The problem we are having is that the originally published post status changes to pending, so the post goes off the frontend until we review and publish it again.

Is there anyway to keeping the current published post live until the edited (pending) post is approved, then replace the old version with the edited version?