One of the easiest mistakes to make with dyed hair is overwashing. As a general rule of thumb, you shouldn't wash colored hair more than four times a week. Try to space out your hair washing as much as possible and only use haircare products that are specially formulated for dyed hair because they seal the color in. If you want to keep your hair fresh between washes, simply spray on some dry shampoo.
Another common mistake is exposing your hair to too much heat. As colorist Aaron Brandford explained to Real Simple: "In the presence of heat, the scales of the cuticle expand like a pinecone. When this happens, color molecules are able to fall out." Some common ways you could be doing this include taking long, hot showers and using styling tools like flat irons. Since, obviously, you need to shower regularly, you should know how to take one that works in your best interests.
CHI stylist Shawnee Heltsley shared her recommended shower routine with Women's Health: "I always tell my clients to shampoo and rinse with room-temp water, towel dry, condition, then rinse with the coldest water you can stand to seal that cuticle shut." For extra caution, you can also get a shower filter that keeps your water mineral and chemical-free to protect your hair from further damage and color loss.