It is the living Christ himself, the perfect Savior of sinners, who carries in himself all the virtue of his finished work on the cross. "Come unto me," "he is the propitiation for our sins." These promises direct our trust, not to the crucifixion as such, but to Christ crucified; not to his work in the abstract, but to him who wrought it.–J. I. Packer, Evangelism and the Sovereignty of God, 111.
And note the universality of these promises. They offer Christ to all who need him, all "that truly turn to him," any man who has sinned. None are shut out from mercy save those who shut themselves out through impenitence and unbelief.