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Hey Doc,
Go check out the splits for these HoFers as they were winding down toward retirement. "Signs" typically begin showing up around age 36, followed by adjustments (usually seen in fluctuating patience), and eventually turning into unsustainable BABIPs. The precise timing isn't set in stone - but the pattern repeats with a LOT of high grade players, (and I suspect that the same is true for some tier two guys).