Removing water stains from interior cedar?

We bought a place with a sun porch with a T&G cedar ceiling. The roof had been leaking, and left water stains in quite a few places.
It looks like the cedar had been stained with a medium brown stain, and the water had picked it up and moved it around to form dark patches at the edges of the water stains. The wood has turned grey in places as well.
Anyone have experience removing such stains?
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