How much posting product links to Social Media affect your ranking? Any use ?
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Google has Google Plus. Facebook has partnership with Bing.
How much social media affect your ranking ?
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Google is always looking at various signals of quality to help determine rankings. Any time you can get a +1 or "likes" on facebook, you should. If it's a question of only doing social media versus getting links to your site, I would choose links for an established site, but social for a new one.
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Just a quick tip.
I wouldn't blindly post product links all over your social media platforms just for the sake of 'trying to affect your ranking' as more than likely it will come off quite spammy.
I would probably focus on more creative strategies of getting people to either share or +1 your posts and pages through unique content, competitions etc.
I imagine in the long run it would have much more positive implications for your main page's ranking.