1960s-1970s Telephone Repair
There is a line of products of which Plastic-Weld is one that I have used with much success over the years for similar types of problems. This is a solvent based "glue" that actually dissolves the plastic a bit and reforms it. The joint essentially disappears. Caution though, don't press together too much or you will deform the plastic. Only apply enough pressure to be sure that the two parts meet firmly.
Dan
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