Hi
Since most trailers have been converted over to a 7 pin connector, I'm going to assume that is what you have. It really does not matter, but it is an assumption on my part.
Power comes from your TV on a specific wire for your lights. There is another wire for each turn signal. Another wire goes to the brake lights. Yet another wire goes to the brakes on the trailer (if you have electric brakes).
Past that bunch of wires, there are two more. One is a ground - it acts as the return for all the stuff above. Another wire can supply power to the trailer for things like charging the battery.
When you want to signal a turn, your TV puts
12V on one of the wires on the 7 pin. That voltage goes into the trailer and off to the various signaling lights. The other side of all the lights gets run back to the ground wire on the 7 pin. That wire hooks into the negative on the TV. Break that circuit anywhere along the way and ... no lights.
Often the negative side of a
12V system in a car or truck goes through the chassis. In some cases the same is true on an RV. With a 7 pin involved, the chassis would need to be hooked to the ground on the 7 pin.
How to proceed:
Grab your multimeter (if you don't have one, get one) and find a convenient light.(brake is probably the best)
Pop off the cover.
Probe across the bulb socket as a helper does whatever it takes to turn on the light. One would guess you will not see
12V (if you do, the bulb needs to be replaced ....).
Next do the same thing, but check each side of the socket to chassis. You may or may not see 12V. (if you do, the ground on the socket has issues)
If there's still no fun, go back to the 7 pin out of the TV and see if you have voltage to ground on it. If not, you have a truck problem.
Now plug the 7 pin back in and measure chassis to chassis between the TV and the TT. If you see 12V then, the ground on the 7 pin is not hooked to the chassis of the trailer.
If that still has not fixed it, come on back and we'll dig still further.
Diagrams for just about any connector you are likely to have:
https://www.etrailer.com/faq-wiring.aspx
Bob