If you want them to appear in your shop and not in the "Search" area, go to "basic configuration", and select "No" in the field "Show my designs and items in the 'Search' section".

Attention: the "Search" area is updated every 24 hours, so they may still appear for a few hours until the next update.

It is not possible to make the designs and T-shirts deactivated in the personal shop and at the same time active in the "Search" area.