Official Par 2s were part of the courses used in the 2001 and 2002 Pro Worlds to get the course par to closely match the SSA. But that experiment bugged several top players and administrators so no official par 2s have been listed (that I'm aware of) since then. It's not hard to find courses with legit par 3s produce scores where the SSA is 46-49. If the scoring average on each hole is 2.5 to 2.7 (or lower) for 1000 rated players, the course SSA is under 50.
Rater of the tossed arc.