³¹ but these are written, that ye may believe that Jesus is the Christ, the Son of God; and that believing ye may have life in his name.

³¹ But these are written that you may believe[1] that Jesus is the Messiah, the Son of God, and that by believing you may have life in his name.

³¹ but these are written that you may believe that Jesus is the Christ, the Son of God, and that believing you may have life in His name.

³¹ But these are written so that you may come to believe that Jesus is the Messiah, the Son of God, and that through believing you may have life in his name.