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1.
someone who had a rash of bad luck and misfortune.
Daryl: Joe got struck down by a cyclist and broke his ankle. Also, his girlfriend Christine left him for that bohunk Milton.

John: Joe is surely a hurting unit right now.
by California Sun December 22, 2006
 
2.
1. Someone's pecker that is sore from over useage or disease.
2. Someome who is so hungover that they can't see straight.
3. A dumbass who can't think their way out of anything.
Man, you are one hurting unit.
by PeeBee February 22, 2004