It will run for AC. It may run at full speed if the clutch fan isn't working well.
It's also possible that the temp switch in the radiator is bad.
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2011 M3
2006 Sierra 2500HD 4WD LBZ/Allison
2004 X5 3.0i 6MT
1995 M3 S50B32
1990 325is
1989 M3 S54B32
Hers:
1989 325iX
1996 911 Turbo
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