Why is my reverse lights and camera staying on

Corrie, what's the year and model of your truck? Manual or automatic transmission? Engine size/type? We need that kind of information to be able to look up the correct wiring diagrams for your rig.

Was the camera original from new or fitted after-market and by whom? In a basic camera system, the camera power comes from the reverse lights. So this could be an issue with the wiring - in of the camera. Can you remove the camera system & confirm the reverse lights operate correctly? Please post make and model of camera system and when you think it was built.