Your dealer should have helped set you up with the correct hitch for your trailer. At least mine did when I bought a 27 ft. TT. Same dealer/salesperson we bought the 3670 from. My hitch included weight distribution and stabilizer bars. They set the height of the hitch (it was adjustable) and attached the weight distribution bars to the correct chain location while we were finishing the paperwork. When we came out, the tech explained it all. If you're just going to pull it with a basic hitch ball, you may want to reconsider.
Short answer to your question is that the trailer, when attached to the tow vehicle, should remain level.