Hey Rob -
Currently the Auctiva Store patterns how your listings are on eBay - meaning that they come out of your store when they come off eBay. Then they will reappear when you relist.
Might be that in the future the Auctiva Store will operate differently but for now this is the functionality.
I hope that helped answer your question and I am really glad that you are enjoying using our service
Take care -
Cara