The correct answer is A) Massilia to Carthage.
The route that involved trade outside of the Byzantine Empire was Massilia to Carthage.
As we can see in the attached map, much of the trade of that time was made in the Byzantine territories. Constantinople, the capital city of the Byzantine Empire was the center of the trade activity where different races and ethnicities gather together with the purpose of trade. But there were some territories that the Byzantine Empire lost and represented good trade routes such as the Massilia to Carthage route that years later were reconquered by Justinian.
The other options of the question were B) Rome to Athens. C) Alexandria to Ravena. D) Antioch to Ephesus.