Under "Products" and "Inventory" I have checked the following setting: "Hide out of stock items from the catalog"
Now all sold out products are hidden in the archive/category view. So far so good.
The problem is that the hidden (out of stock) products are counted per page. So if there are 3 products that are sold out on the first page, only the ones in stock are showing (6).
It also seems that these "hidden" products still are searchable as well, and visible through the different widgets.
Any ideas how to fix this? I mean to REALLY hide products that are out of stock. Or do I need to manuallly remove them?