Final answer:
Livy implies that virtues could grant survival in the sack of Troy, but no specific passage from Livy is given that explains why Aeneas and Antenor survived. Aeneas is often portrayed as pious and dutiful, which may have contributed to his survival according to Roman mythology and history.
Step-by-step explanation:
According to Livy, Aeneas and Antenor survived the sack of Troy because they had demonstrated virtues that set them apart. However, given the information provided there isn't a specific reference to Livy's own words explaining why Aeneas and Antenor specifically survived the destruction of Troy. Livy is known for his expansive work titled 'Ab Urbe Condita,' where he details the history of Rome from its legendary founding onward. His works, along with those of Virgil and other Roman historians, often highlight the concepts of valor, piety, and contribution to society as redeeming virtues that could grant survival and favor. Aeneas, in particular, is often depicted as pious and dutiful, qualities which could possibly be inferred as reasons for his survival within the overarching narrative of Roman mythology and history in Livy's account.