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There is great controversy surrounding this question, thus, the explanation must be more involved than that given by St. Thomas here.
First, as to the argument given for the affirmative answer, St. Thomas' argument is basically that:
Major: It is impossible for anything to fall outside the universal cause under which all particular causes are contained
Minor: The will of God is such.
The major premise is illustrated by a comparison of efficient and formal causality. Just as a formal cause may fail to produce some particular form, yet may not fail to produce universally, so also may the efficient cause fail to produce some particular effect, but not escape the universal cause's grasp.