What Gives With Adsense?

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Ok, y'all. I've mentioned this before and I'm still stuck at a loss. I have a blog that I'm now just beginning to tweek. I make posts on it at least three times a week. I would love to get Google adsense and start earning some good money with links Google can post on my blog page. I've been turned down because they said that I don't own my domain name. Any advice on what I can do?