Text: She hardly needs to mention it--the media bring it up anyway--but she invokes it subtly, alluding (as she did on two Sunday talk shows) to women who drive their daughters halfway across the state to shake my hand, a woman they dare to believe in.
Entailment: Women drive their daughters from halfway across the state to shake her hand.
Contradiction: She needs to mention it since the media will bring it up anyway, she invokes it directly.