Hi Iman, There is not a concrete rule to follow, but according to the meaning and structure you have to make a choice. As for your examples, one of the common participle clauses is "Perfect Gerund". Perfect Gerund which is in form of Having+ PP means after doing.
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imantaghaviSo in passive ones, is that always the case that the perfect auxiliaries are implied or that's just optional?I doubt that it is always like that.
imantaghavimake any difference if we use them in different order?Yes and no. Sometimes you can get strange, unintended meanings if you put a participle clause in the w