Automatically Deleting Accepted Meeting Requests

I have delegate permission to accept meeting requests on behalf of my boss in Outlook.  He wishes to receive the meeting requests so he can deal with the diary clashes himself and wants me to accept the rest.  He also wants me to delete from his inbox all the meetings I have accepted on his behalf so he doesn't have to. 

Without going into his Inbox every time to delete the already accepted meeting requests is there a rule or setting I can apply which automatically deletes the meeting requests from his inbox once they have been accepted by me?