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[Zohar <>]

First see the preconditioning of each join method, and make sure that you
satisfy them in each case.
Second I tried to simplify a mesh by myself using the join functions, and I
ran into a similar problem, but in my case the faces weren't degenerate, and
mostly my mistake probably was that I couldn't detect correctly when the
join leads to intersections. But when I used the simplification mechanism I
had no problems. 
It would be quite helpful if you could print the triangulation (or just the
neighborhood) before you make a join failed attempt.
Third you probably need at least
Exact_predicates_inexact_constructions_kernel, and I would have tried
exact_exact just to see what happens.

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