Questions
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How is it possible to rank first for a keyword, when the keyword isn't written on the page?
They probably use it in their Meta Title and have enough LSI keywords or related keywords that Google clearly correlates them with the keyword you are searching for. Also, I bet they have a good amount of quality inbound links and possibly some internal or external ones pointing to the ranking page that have part of or all of the keywords in them. I would try and evaluate why Google thinks this is the best result in terms of quality and content depth, not simply if they have the exact keyword in the page copy or not.
Keyword Research | | pilesofpillows3