New v Returning in Google Analytics with Adwords

[RadicalMedia]

I am trying to figure out an issue with Google Analytics. What i am stumped on is I see traffic from AdWords coming in (accounts linked) and I see new v returning user.

Does the return visit still show even if a user came back in via direct or organic?

Or is it that these return visits are clicking on the ad again to come back as visits and clicks match in the reports?

[Bevelwise]

These returning visitors are not necessarily coming from the same source.  These users may have come through organic, direct or referral sources.  Then on their 2nd+ visit they went through an Adwords Ad.  The same user may have also clicked on multiple Adwords Ads as long as they do it naturally and the click doesn't get filtered by Google's click fraud algo.

[RadicalMedia]

Thank you Bevelwise that makes sense.