My Lacrosse randomly over heats. The thermostat, head gaskets, fans, are fine on 2006 Buick LaCrosse

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No coolant leaking. What else could it be? Where is the Engine Coolant Temperature Sensor located?
(3) Answers
in the area of the thermostat. it is a 2 wire sensor.

from your description, I would change the thermostat, flush the system and make sure there is no coolant in the oil.