the short answer
Passive range of motion (PROM) is the range a joint moves through when an outside force does the work, such as gravity, a strap, a partner, or your other hand. Active range of motion (AROM) is the range you can move that same joint through using only your own muscles. Active is almost always the smaller of the two, and the gap between them is the range you can reach but cannot yet control. That gap is trainable, and for most lifting clients, closing it matters more than simply chasing a bigger passive range.
This article is general training education, not medical advice. Coaches assess how a client moves; they do not diagnose joints. If a client has pain, joint instability, suspected hypermobility, or is returning from surgery, refer them to a physiotherapist or doctor rather than programming around it.