The trim is aluminum, not chrome. It is extremely difficult to get it to shine back up. Some have had luck with aluminum or metal polish, most haven't. Personally, I'm lazy so I live with it. My car isn't anywhere close to a show car.

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Current stable:
1995 E320 149K (Nancy)
1983 500SL 120K (SLoL)

Black Sheep:
1985 524TD 167K (TotalDumpster™)

Gone but not forgotten:
1986 300SDL (RIP)
1991 350SD
1991 560SEL
1990 560SEL
1986 500SEL Euro (Rusted to nothing at 47K!)