Here "brothers" means fellow Christians, including both men and women. Alternate translation: "brothers and sisters" (See: [[rc://en/ta/man/translate/figs-gendernotations]])
Paul speaks of God's word spreading as if it were running from place to place. This can be stated in active form. Alternate translation: "that more and more people will soon hear our message about our Lord Jesus and honor it, as happened with you" (See: [[rc://en/ta/man/translate/figs-metaphor]] and [[rc://en/ta/man/translate/figs-activepassive]])