This subjunctive has the same form as the bare infinitive and, yes, it tends to be used mainly with certain (specific) verbs and phrases. It is not restricted to the third person. Here are some verbs and phrases with which the subjunctive might be typically used: ask (that) be determined (that) command (that) demand (that) emphasize (that) insist (that) move (that) propose (that) recommend (that) request (that) require (that) suggest (that) urge (that) on the condition (that) provided (that) It is necessary/important/essential/imperative/vital/critical/crucial/vital (that)
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