Let me suggest that hands are made clean through the process of putting off the natural man and by overcoming sin and the evil influences in our lives through the Savior’s Atonement. Hearts are purified as we receive His strengthening power to do good and become better. All of our worthy desires and good works, as necessary as they are, can never produce clean hands and a pure heart. It is the Atonement of Jesus Christ that provides both a cleansing and redeeming power that helps us to overcome sin and a sanctifying and strengthening power that helps us to become better than we ever could by relying only upon our own strength. The infinite Atonement is for both the sinner and for the saint in each of us.