What route involves trade outside of the byzantine empire

 Massilia to Carthage is the route that involves trade outside of the Byzantine Empire.The Byzantine Empire was also known as the Eastern Roman Empire. Its capital city was Constantinople. The routes Rome to Athens, Alexandra to Ravenna and Antioch to Ephesus all fall within the Byzantine Empire. The Byzantine Empire was the most powerful empire during its existence and survive the breaking up and fall of the Western Roman Empire. 

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