Bounced Emails delete from Contact listing

Hi All, I am reaching regarding the process of 1. going to reporting 2. email campaigns 3. bounced list then delete. However, when I go to the contacts and go back into the group and search on of the contacts that was supposed to be deleted it is still showing. How can I delete it from the same group that Ill be sending another massive email to? So that I dont get the same bounce reporting again.