dargelegten
The word "dargelegten" is the past participle of the German verb "darlegen," which translates to "to lay out," "to explain," or "to present." As a past participle, it functions as an adjective or as part of a perfect tense construction in German. When used as an adjective, "dargelegten" describes something that has been explained, presented, or set forth. For example, one might refer to "die dargelegten Fakten" (the presented facts) or "die dargelegten Argumente" (the explained arguments).
In its grammatical role as part of the perfect tense, "dargelegten" is used with auxiliary verbs like