But now that Timothy has come back to us from [his visit with] you, and has brought us good news of your [steadfast] faith and [the warmth of your] love, and [reported] that you always think kindly of us and treasure your memories of us, longing to see us just as we long to see you,

Finally, believers, we ask and admonish you in the Lord Jesus, that you follow the instruction that you received from us about how you ought to walk and please God (just as you are actually doing) and that you excel even more and more [pursuing a life of purpose and living in a way that expresses gratitude to God for your salvation].