By my experience, changing your H1 will not bring immediate results, no matter how many ibls you have.

This so-called 'sandbox' effect' doesn't only apply to a new site, but also new pages or pages that have a new title.

In short, google probably wont rank a page that is new to a 'key word' without first placing some sort of time filter on it. How long, depends on how competitive that keyword is.

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