This article talks about how commerce on facebook hasn't really been established, yet there are businesses that have had commerce success on facebook. Third party transactions aren't really allowed on facebook yet, as software doesn't allow. Although you can't necessarily do business on facebook, it's still recommended to set up storefront on your facebook page, as it allows consumers to view your products, and hopefully drive them to your page. They also give examples of three companies who have had commerce success on facebook (as the title indicates). 

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