I've got these black unpainted door handles, but they're turning white, as are the gutter rails on the roof of my '04 Matrix. High resolution versions are linked:

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Flickr page |
1280 x 960 high res version)

(
Flickr page |
1280 x 960 high resolution version)
I assume these are calcium/dirt deposits in the textured plastic. I have a feeling that claying won't do a darn thing. Also, only the driver's side gutter rail is fogged, the passenger's side is almost as new. All the door handles are infected, to some degree.
What are my options to fix this? I am not averse to painting them, though I would like to keep them black.
(If these pics are gone by the time you read this, the unpainted door handle and gutter rail, which is textured hard black plastic, has fogged with white deposits that looks sort of like a thin coat of sunscreen.)