Also passenger airbag off light on rearview mirror stays on too and lock symbol on dash stay lit when vehicle is locked with key remote.
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2005 Buick Rainier Question: Check engine light comes on and stays on after engine has been turned off.
This could be a body computer issue. Not at work where I can research today. Suggest you try disconnecting a battery cable for about 10 min. just so all the modules can reboot. May be Monday before I can follow up.