Why do my eyes have that fold of skin at outer corners? What would fix it? (photos)

You have what is called "lateral hooding" and a combination of a temporal brow lift and upper eyelid surgery (upper blepharoplasty) would be of benefit. I recommend you see a board-certified plastic surgeon, facial plastic surgeon, or oculoplastic surgeon for a consultation. Best wishes,Thomas Walker, MD, FACS

Thank you for your question and photos. It is hard to tell by photo, but it appears that you have some extra skin folding over and creating that line. Patients with extra skin often have great results with an upper lid blepharoplasty. I recommend seeing an oculoplastic surgeon to be evaluated in person and talk about all your options. Hope this helps!
Dan Landmann, MD, MSEE