Totally depends on the vibe. In my group, acting out persuasion or deception checks is most common, but sometimes someone can’t think of exactly what to say and so just outlines the gist in a detached way - e.g. “I go on about how the safety of the city is top priority, allow us access so we can continue our search for the fugitive”. Not specific, but general. Either works, and the general form is bare minimum IMO.