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Aren't those clauses in there to cover transferring files to CDNs or backup services?

I'd interpret the "Basically" section as a display of their intent, since the full terms require a lot of legalese to protect 500px.

As NyxWulf and other commentators said, the "Basically" sections would probably play a role in a law suit anyway, so they couldn't hide contradicting terms in the left section.