I have seen fired .40 brass measuring as large as .436'', near the base. None of these will ever go through a standard sizing die w/o creating the bulge.
Running them through a Sizemaster Jr., or the Redding/Lee die, should remove the bulge. Realize that the brass has still been weakened in that area, and could be prone to rupture.
For target level loads, they may do fine for a few loadings, but never for top end loads. JMO
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