If Derek Jeter (age 36, turning 37 in June) collects as many hits as Pete Rose did from the season during which he turned 37 onward... he will end his career with 4243 hits. That's 13 shy of Pete Rose's record.
If Alex Rodriguez (age 35, turning 36 in July) socks as many dingers as Hank Aaron did from the season during which he was 36 onward... he will end his career with 819 home runs. That's quite a few more than Hank Aaron (or Barry Bonds).
To paraphrase the Ergs: "But they probably won't."