Yes, you can go in the ocean with dyed hair. However, it is important to take into account a few things first. For example, dyed hair can be more susceptible to damage from salt water and sun exposure. Therefore, it is important to take extra care of your hair if you plan on spending time in the ocean. For instance, you may want to use a leave-in conditioner or oil to help protect your hair. Additionally, it is important to make sure that your hair is completely dry before going in the water. Otherwise, your hair could absorb too much water and become damaged.