The control links go through the hinges. I bet it was complicated to design hydraulic cables rugged and reliable enough to withstand the tail door opening and closing thousands of times.
It's another unique aspect of the 787 program. The LCF is absolutely essential for the production of the ground-breaking Dreamliner and the LCF is one-of-a-kind itself. It seems to me this must be one of the most innovative production schemes ever attempted on such scale involving so many and diverse international partners. To an armchair observer like me, this unfolding story is absolutely riveting!
From Randy's Journal:
This photo of the 787 fuselage sections inside the Alenia facility
gives you a sense of the size of the airplane.
(Photo courtesy of Alenia Aeronautica)