My cars problem (one of many) was the Ignition Control Module, mounted in the drivers front fender well. It is a silver box that has a lead to the coil. Mine was loose and very hot. I replaced it and the car did not die any more. I cured my idle problem (up and down) with Air slide valve and Idle Speed control module.

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Steve
1985 Mercedes 500SL Euro (Gray market)
1995 BMW 520i Euro (Gray market)
1992 BMW 525it Wagon
1994 Honda Del Sol Si