Feel free to quote the legislation that does include the word "love."
It can apparently vary state to state. For instance, I was just looking at Connecticut's manual for justices of the peace and it has love in the vows as recited by the JP in every iteration. So within the exercise of a JP's powers, each possible speech made in authority contains love.
Here's the "no ring" minimal version:
3. NO RING CEREMONY Do you take this woman to be your lawful wedded wife, to
love, honor and cherish her through sickness and in health, through times of happiness and travail, until death do you part?
Do you take this man to be your lawful wedded husband, to
love, honor and cherish him through sickness and in health, through periods of tranquility and travail, until death do you part?
(The parties are now directed to join hands.) Having joined hands, the person officiating will say:
"By the act of joining hands you take to yourself the relation of husband and wife and solemnly promise to
love, honor, comfort and cherish each other so long as you both shall live. Therefore, in accordance with the law of Connecticut and by virtue of the authority vested in me by the law of Connecticut I do pronounce you husband and wife."