Yes your correct .. The two profiles are duplicates and when merged they become one profile, you remain the profile manager, the information present in both profiles is preserved and the family connections are maintained. In this case because you are the profile manager for both profiles, it is an easy process for you to authenticate, edit, combine and stay connected to it's family tree both during the merge and after the merge.
Secure, easy and accurate merge. If they are the same, I recommend merging them as Kay Wilson suggested.
C'est Bon ..