"Matched Third Party something or other" IS a Content ID match, and that third party, in all cases, has the legal right to order advertising on the video they've claimed, at any time they choose. They also have the right to order that video removed. It's the law.

>>So, I own my videos and everything in it, except the music,

Fine. And the music you admit you do not own, belongs to and is copyrighted by someone else. That would be the "third party."

>>and I give credit to the musicians and their website according to their outlined specifications.

Whatever or wherever those "outlined specifications" are, they are apparently not sufficient to satisfy the content owner. Giving credit in a video or the video description almost never is. You're using it without their express permission. Giving credit doesn't buy you that permission, money does.

>>I've been doing this since 2010.

That would mean you've been lucky. Very lucky. Getting away with it for two years is akin to getting away with speeding for two years. Eventually you just might get caught.

>>So, excuse me for thinking a Content ID match was something else. I'm not that savvy. I'm just looking for help.

You might benefit from going here:

http://www.youtube.com/my_videos_copyright

And where you see that "Matched Third Party something or other" beside the video, clicking on it. It's a link, and it will lead you to a page with more information about the claim, and its consequences, as well as a further link that will enable you to "Learn more about copyright on YouTube."

The ability to get "that savvy" is easily within your grasp.