fillet question

 From:  wimverbe
5300.1 
I know that filleting can be a challenging task, but sometimes I find that even very simple geometry is tough to finish off with a nice rounding.

I have 2 simple parts, and if I fillet them separately, there is no problem, but as soon as I boolean union them, there is no way to add a fillet, not even a tiny one.

any ideas what I should do?
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