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We study recurrence in the real quadratic family and give a sufficient condition on the recurrence rate of the critical orbit such that, for almost every non-regular parameter a, the set of n such that Fn(0;a) is infinite. In particular, when, this extends an earlier result by Avila and Moreira [Statistical properties of unimodal maps: the quadratic family. Ann. of Math. (2) 161(2) (2005), 831-881