mmrseed, keep in mind that the tail lights on the truck have 2 filaments in them. You can relate it to the 4HI and 4LO settings in your truck. They use a lot of the same things, but yet, they are different too.
I would first start with trying to put in new tail light bulbs atleast on one side to see if it is nothing more than just a bad filament in the bulb. Next, with the tail light removed, look on the plug going into the taillight, you should see a brown wire there. Using a multimeter or similar tester, see if you have 12 VDC on that wire when the running lights are on. Repeat for the other side when checking the voltages.
If you have 12 VDC there, but the lights are not coming on, then you have a problem inside the tail light housing. If you don't have 12 VDC, then you have a problem in the wiring harness of the truck. Have you done any wiring work on the truck recently (ie, shortly before the lights are thought to have gone out)? If so, I would start in that area looking for any brown wiring that may be damaged/may have been cut.
If you need more help, let me know.