Kitty tells Levin about the womanly gossip, and then asks his opinion on the Koznyshev/Varenka match.
Levin reminds Kitty that Koznyshev was in love with a girl who died, and then argues that having thrown himself into the spiritual life, nothing will recall Koznyshev to reality, not even Varenka.
The two of them converse in such a way that it's clear that they're a couple that has had many conversations. Kitty and Levin can leave certain things unspoken and yet understand one another perfectly.
Levin points out the Koznyshev is not as close to Kitty as Nicholas was.
Levin doesn't think that Koznyshev can fall in love, and expresses envy for the fact that duty comes before anything else for Koznyshev.
They chat for a bit about society and the common good, and then Kitty hands Levin a flower and tells him to count off he'll propose, he won't propose. The experiment goes awry because Kitty and Levin disagree over counting a little petal as a full petal.
Kitty's mother draws up next to them in the carriage, but they decide to continue on foot.