Hello Anon Your first example is fine. The "coating" clause is a participle clause; the participle is a present participle. When you use a participle clause, the tense of the participle doesn't have to match the tense of the main clause.
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CalifJimIt is the terminology for classifying participles that is to blame. The so-called present and past participles are probably more accurately called the active and passive participles, respectively.I'd like to agree. But how about "arrived" in "recently arrived immigrants"?