Connie Sumner: I think this was a mistake.
Paul: There is no such thing as a mistake. There are things you do, and things you don't do.
Connie Sumner: Edward... did you hurt him? You did, didn't you? Jesus, Edward. Talk to me. Tell me what you did.
Edward Sumner: No. You tell me what you did.
Tracy: Having an affair is nothing like taking a pottery class.
Sally: Could be.
Tracy: No. It would start out like that, and then, um, something would happen. Someone, uh, finds out, or someone falls in love, and it ends disastrously. It always ends disastrously.
Edward: I didn't want to kill him. I wanted to kill you!
Connie Sumner: Did you just fuck me across the street?
Paul: Uh-huh. I did.
Edward Sumner: You talk about me?
Tracy: Do you think she's had work?
Sally: Why would she have had work? She still looks gorgeous.
Tracy: Well, that's when they're having it now, before it all turns to shit.
Connie Sumner: Be happy for this moment, this moment is your life.
Answer: Although Connie wanted them to go to Mexico and assume new identities, it is implied that Edward, who initially goes along with that idea, will likely turn himself into the police. However, there's no definitive ending given, so the audience is left to interpret the outcome.
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An alternative ending was shot in which Edward says goodbye to Connie in the car and walks into the police station. The director discusses this on the commentary track. The alternate ending is on the DVD.