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I'm not sure if these fit under 2), but there are also CBI/P/N (First and Third Seal) and limited use (arts, NJ site) as second sentences.
So, for Warriors and earlier, it appears we have two kinds of multi-sentence abilities:1) second sentence is not a second ability, but clarifies the first (Prince of this World, Hunger, etc.)2) second sentence depends on the first completing, and modifies the result of that first ability (set asides, Temptation, Golden Censer, withdraw and keep enhancements, etc.)