Wolber M59 anodised chrome magnesium rim cleaning

Hi, I have recently got a ~1973 Chas Roberts bike to restore. The wheels have Wolber anodised chrome magnesium rims (according to the decal on them). These have a white patchy surface on parts of them. Does anyone know the best way to get rid of this without damaging the rim?
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Post a close up pic of the affected area.
There's no paint on the rims - do you mean a chrome polish would do it?
Don't use anything abrasive as this will scratch or wear away the anodized layer.