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Hi and Welcome to Just Answer!, I see your question has not been answered after so many hours, many experts have seen it but decided not to respond due to complexity of diagnosing problem like this on internet level,
However, I have seen many 2010 and 2011 Gl and ML vehicles with this problem and I have successfully diagnosed it to mulfunctioning Ignition switch. EIS-
For correct pricing of the job, please contact your local MB dealer.
labor time is an hour - part is about $440
Best Rgards Pavlin!
please reply if you have any questions!