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One is A plain white box that you can only get from the Apple store as a replacement. The other is a normal retail box.

Don't worry, Apple doesn't put refurbished phones into new boxes and sell them at Best Buy.

Also, plain white boxes contain just the replacement iPhone and no accessories. Retail boxes change yearly and can be white or black or somewhere in between. It just happened to be white for the iPhone 5s.
 
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