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Just because Google is choosing not to display your titles and descriptions doesn't mean it hasn't indexed them. It's content and in the source code. It's indexed. It's being taken under consideration for ranking purposes. Google ultimately controls what is displayed, however. Titles and meta descriptions are merely a polite suggestion. There is no way to opt out of those rewrites 100% of the time. NOODP is only good for opting out of Dmoz descriptions, if you even have one there at all. (Most newer sites probably won't since inclusion hasn't been relevant for at least 5 years, probably longer.) It's not the only alternative snippet source. It's much more likely that Google will just find relevant text from the page itself to populate a description snippet, and NOODP will not block that. If Google is choosing its own snippet over mine, I don't always worry about it unless it's choosing something that's just flat out bizarre. I also like to look at Google's rewrites as instructive. The algorithm is serving up something that it thinks is more relevant to your query, and these days, with RankBrain and the entire menagerie in play, it's getting pretty smart. So if Google is rewriting my description, which means that Google has decided that particular text is relevant, then I'm going to take notes on what text it's grabbing and seriously consider adjusting my own description to be a closer match to whatever Google is inclined to serve up. If Google is literally pointing out the most relevant text for that query, maybe we should listen, right?

And since I can now stop being cryptic, I was referring to the new Keyword Explorer.