Do Apple Certified Re-sellers sell real apple products?

I'm from Puerto Rico and even being part of the US we have no official Apple Store. But we do have a store in our malls that claim to be "Apple Certified Re-sellers". The products I have bought there so far have been only accessories, example: iPhone cases, watch bands, etc. So other than packaging and YouTube videos I'm not really sure how to tell if the products are fake or not. Are they? If they are how do they get away with claiming that they are Apple Certified?

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