The face lift really only works from the level of the upper lip down to the mid portion of the neck.  All of his improvement in the eyelid and upper cheek areas is attributable to the chemical peel.

With the combination of the face lift and the peel, he achieved some improvement of the folds that course from the bottom of the nose to the corners of the mouth.  Those folds are typically corrected not at all or only slightly with a face lift, but adding the peel can give some reasonable softening.  The folds that extend downward and to the side from the corners of his mouth were also helped by the peel.