I've found that it is difficult to find a good serum that helps mend broken veins. I have heard good reports about Osmotics Anti-Radical Age Defense. And I have personally had good results with E'shee's serum, which contains horse chestnut, an ingredient that helps strengthen the capillary walls. Horse chestnut trees (particularly the seeds) contain a saponin called escin. This is supposed to strengthen veins and capillaries by blocking an enzyme called hyaluronidase, which can breakdown of proteoglycans (part of the structure of capillary walls). You can save money and have fun by buying some horse chestnut extract and making your own broken vein serum. Here's a short video to show you how.
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