(Book 2 Chapters 7-13) What promise does Carton make to Lucie at the very end of their meeting?

Carton tells her that he would give up his own life to insure that hers is happy and promises that he would do anything for her or for anyone close to her.

"My last supplication of all, is this; and with it, I will relieve you of a visitor with whom I well know you have nothing in unison, and between whom and you there is an impassable space. It is useless to say it, I know, but it rises out of my soul. For you, and for any dear to you, I would do anything. If my career were of that better kind that there was any opportunity or capacity of sacrifice in it, I would embrace any sacrifice for you and for those dear to you. Try to hold me in your mind, at some quiet times, as ardent and sincere in this one thing. The time will come, the time will not be long in coming, when new ties will be formed about you--ties that will bind you yet more tenderly and strongly to the home you so adorn--the dearest ties that will ever grace and gladden you. O Miss Manette, when the little picture of a happy father's face looks up in yours, when you see your own bright beauty springing up anew at your feet, think now and then that there is a man who would give his life, to keep a life you love beside you!"