When you are in the Extract mode, you can specify the copy operation at a more fine-grained level. More specifically, you can specify how many levels to copy for each slot. In the extract mode, the New Operation window looks like this:
As with usual copy, you can choose to copy all subclasses, instances, superclasses of a class, or everything related to the class (slot, or instance)
In addition, you can bring up the "Slot details" window by clicking
on the button.
You will see the following window:
You can either specify the number of levels to copy along all relationships by filling in the number in the box at the top, or specify number of levels for each slot in the ontology, as well as subclasses, superclasses, and instance links.