To exchange or not to exchange?

By master

Correct evaluation of pawn endings is an important pillar of good endgame
technique. So, e.g., in the following position Black had to come to a 
judgment as to whether, after the exchange of rooks with 47…Rxe2 48.Kxe2, the
ensuing pawn ending is a draw. Otherwise, he would be obliged to do without
the exchange and to defend the rook ending.
What do you think? Does the exchange of rooks lead to a drawn position?

The solution is here,
but first ponder over it with a  larger version of the diagram.

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