Completed
The Complete screen lists all of your auctions which have completed, the data displayed here is periodically erased so it will not show a full history of your auctions but the last few days worth.

It is intended as a means for you to assign auction winners on any auction that does not sell via Quick Sale but has the required minimum bid.

You can view the list of highest bidders and choose who you wish to get the item, sometimes a bidder may not have the amount of money they placed the bid for in which case you should ignore their bid and move to the next highest bidder.