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You've obviously put thought into this, but not from the standpoint of a business in a competitive industry. So what if you have to run a promotion to get people to like or circle your page? They can just as easily unlike or uncircle but you have their attention for the period of that promotion and most likely much longer. That you can't AT ALL use any such marketing tools is beyond stupid and makes Google Pages for business pretty useless.
3 years, 1 month ago on Google bans promotions and competitions on Google+ Pages for brands