What can I do about the loose skin under my eyes? (Photo)

My undereyes are so black because of the layers of skin. Is there anything I can do about the extra skin? The skin is very thin and loose underneath my eyes. On one side, a vein is noticeable. I've tried botox, it did not work. A plastic surgeon told me a blephroplasty should help but I've been turned down by several doctors simply because of my age. I have a feeling I will see several results if I just remove about a centimeter line of skin from both of my undereyes. Would that be possible?

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