Nicholas Basily said: We normally say "sb is committed to sth" (e.g. she is committed to her family) where sth may be a gerund (e.g. she is committed to looking after her family). However, I have come across, much less frequently, "be (jointly) committed to do sth" or "have a commitment to do sth". "sb is committed to sth" = "be committed to do ... More @Wikipedia
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