If you are on an HTTP site and you decide to migrate the site to HTTPS, it is common practice to update all of your internal links from the HTTP URL format to the HTTPS URL format. Google's John Mueller was asked about this on Reddit and he said "I'd always try to fix internal links, it just makes things cleaner, and is under your own control. I doubt it would have any visible effect though."...
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Google: Update Internal Links From HTTP To HTTPS But...
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