They have linkage clips on the rods where they attach to the handle up inside the tailgate..the rod pokes thru them,and they clip onto the rods..door handle linkages in the front door use similar clips,and so do some carb linkages too...
Its kinda hard to describe how to do it,on the web!...but here goes..
If I had to pull a tailgate handle out,I usually take off the 3 phillips head screws out that are directly behind the handle on the back side of the gate,and then remove the bolts to the brackets at the outer edges where the latch pokes into the bed,and remove the rod from the latch...then you can slide the rods and handle out far enough to get them off easier...doing it while everything is still bolted in is a beotch!..(but can be done, with patience and curved needle nose pliers--and lots of cussing!)..