Hi cowboyup,
Yes, the items posted in the "Mature Audiences" section of eBay will be displayed in your Auctiva store, however, the thumbnail images will only be visible next to the "Mature Audiences" items in your Auctiva store if the viewer has already gone through eBay's age verification process, which would be the case if he/she reached your Auctiva store by clicking the link in a "Mature Audiences" item.
On the other hand, if a perspective buyer reaches your Auctiva store from a link in a non-adult item and has not gone through the age verification process yet, a silhouette image displaying the message "Adult Content" will be displayed next to each of the "Mature Audiences" items in your Auctiva store instead.
Any additional questions or concerns? Please file a support request using the appropriate link on our help page:
http://www.auctiva.com/free-auction-software-help/help.aspx-Mike