The pump has a relief valve so the filter being clogged will not stop it from running. You would think if someone went through the work (it is a bit of a job) to change the regulator they would have changed the filter as well but you never know.

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1988 325is (purchased new) sold
2004 X5 3.0 2005 X3 2.5
2008 X5 3.0 (new to me)