Facial wrinkles are a natural part of the aging process and can occur for various reasons.
As aging reduces the collagen and elastin in the skin, skin elasticity decreases and wrinkles form.
In addition, wrinkles can develop as the skin of the face sags downward due to gravity.
Finally, repeated use of the facial expression muscles can also deepen wrinkles.
Lifting procedures such as a facelift or forehead lift, as well as lower eyelid surgery to improve under-eye sagging, can lift sagging skin, but they do not eliminate facial expression lines.

Various muscles related to facial expressions. Source: JoongAng Sunday
Most of the muscles in the face are controlled by the seventh cranial nerve, called the facial nerve (VII nerve). If there is a problem with the facial nerve, the facial expression muscles may weaken or facial asymmetry may become more pronounced.
For that reason, it is better to preserve facial expression lines appropriately, and severe wrinkles are best managed with wrinkle Botox for the face (forehead, glabella, crow’s feet, and so on).
'Before and after lower eyelid surgery in middle-aged men'
A man in his 60s visited with under-eye sagging, and this is the one-month follow-up after lower eyelid surgery.

Lower eyelid surgery review for a man in his 60s. Before and after lower eyelid surgery for a man. A real model who consented to publication.
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The bulging fat pads under the eyes were repositioned below the tear trough to improve the signs of aging under the eyes.
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Through SOOF lifting (sup lifting), the orbital length was reduced and the midface regained elasticity.
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By suspending and fixing the orbicularis oculi muscle and adding elasticity to the lateral canthus, the youthful aegyo-sal was restored.
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The skin was excised appropriately, so the side effect of eyelid turning outward (ectropion) did not occur.
Garnet Plastic Surgery’s 'Quad Plus Lower Eyelid Surgery' is an advanced four-step lower eyelid procedure that improves each cause of under-eye aging by component.

Korean Intellectual Property Office trademark registration: Quad Plus Lower Eyelid Surgery
Even for men, if the aegyo-sal muscle remains well preserved, making it elastic without removing it can result in a more natural lower eyelid surgery.
As you can see when comparing before and after surgery, even after lower eyelid surgery, not all wrinkles around the eyes are smoothed out.
Wrinkles around the eyes are partly caused by sagging skin, but a large part of them are wrinkles caused by facial expressions around the eyes.
Lower eyelid surgery has evolved in a direction that restores the function of the orbicularis oculi muscle and preserves the facial nerve, so it is normal for facial expression lines to remain naturally.

Lower eyelid surgery review for a man. Before and after lower eyelid surgery for a man. A real model who consented to publication.