Paul worships the same God as his ancient ancestors did. This could also read, "… for whom I perform my duties as a Christian just as my ancestors who came before me did…"
## in a pure conscience ##
"with a clean conscience." He is not bothered by thoughts of wrongdoing because he has always tried to do what was right.
## as I constantly remember you ##
<b>as I constantly remember you <b>- "when I remember you continuously" or 'while I remember you all the time" or "that I constantly remember you"
## night and day ##
"my prayers night and day" 2) remember - "I constantly remember you night and day 3) longing - 'longing to see you night and day."
## longing to see you ##
"wanting very much to see you"
## remembering your tears ##
"keeping all the things that you have suffered in my mind"
## may be filled with joy ##
"have much joy" or "be very joyful"
## having been reminded ##
<b>having been reminded <b>- "because I have been reminded" or "when I have been reminded" or "for I have been reminded" or "and having been reminded"
## your genuine faith ##
"your faith that is real" or "your faith that is not pretended.” The word translated as "genuine" is the negative of the word for a performer who acts in a theater. It means “honest” or “true.”
## faith … which lived in your grandmother … now lives in you ##
Timothy's Grandmother was a devout woman and Paul is comparing Timothy's faith with his grandmother's.