No, they weren't flagged off the page. The first one slowly faded to the bottom of the page, and the second got few upvotes.
http://i.imgur.com/ADMcanz.png
Copy pasting from my earlier reply to you about the first one:
Then why was it sitting below another article that was posted around the same time but had only nearly half the points? http://i.imgur.com/uFPTSqR.png
Edit: Even now, it ranks lower than another article with the exact same points posted a full four hours before it.
That said, if flagging pulls the submission down, which I believe it does, then it's an obvious avenue for abuse for people with an agenda.