Well, splicing a a ribbon cable is not easy! And sadly this cable flexes so over time it will fail.
So can you glue a hair over-lapping them end to end? Thats the widths of the copper traces!
Take a look at these images.
[image|3073268]
[image|3073272]
The L part is where some of the logic sits. Even on my best days I wouldn't attempt it. If you do get it to work it will be short lived. So they should migrate their stuff over to a new system.