Brief Answer:
You seem to not have gotten an answer

Detailed Answer:
My apologies on behalf of the service. The previous answerer hasn't done this before. You can't actually diagnose someone without seeing and examining them. You can give general information.
Here's what's there
Muscle, bone, nerves, blood vessels, joints
Here how you deal with pain. One way is to see if anything is going to kill you and work on that! The only potentially life-threatening ankle issues are either edema from a serious heart, lung, kidney, or liver issue (if there isn't huge swelling forget I mentioned it!) OR... blood clot (really really UNlikely if it is evenly on both sides!).
Just painful ankles without other symptoms are NOT LIKELY to be dangerous situation

Ok, then classification by what is there.
Muscle pain, hurts with stretching/moving the muscles but massage can help. Aspirin like drugs can help, regular stretching/exercise can help. Generally this occurs in a context in which people know why they hurt, but not always. THen, there is a disorder of people who are not young (can occur from 30's onward, increases with age) called restless leg. It occurs due to an imbalance of tone between nerves that tense the muscles and those that inhibit muscle movement. Typically, with sleep, the muscle move when they shouldn't, there's a response to this and the muscle cramp painfully. It is around sleep, the legs are restless. There are many very good and safe treatments for it.

The joints can wear out. Increases with age. It is in the joints. There is often swelling and deformity.

The nerves can hurt. This can be in a pinched nerve but that is rarely both sides. Instead SICK NERVES from diabetes, thyroid, b12 deficiency, and some other disorders hits the ends of the longest nerves. If it is in the calves, then the feet also have to have nerve symptoms even if it is a lack of feeling. There has to be careful analysis to know what to do with this. Treatment is pretty good for the pain and for getting the area better but there is always an underlying condition that also has to be treated.

Bones. I'd say you can't have the calves on both sides hurt from bad bones, and the textbooks do not list this, BUT actually.... it's pretty common!. Thin bones are typically described as showing up as fractures in the hip and spine but just as common is ache in the calves because that is where the bones BEND the most (mostly wtihout fracture). Low calcium or vitamin D or general bad nutrition. Really needs addressing because it leads to fracture and it is entirely treatable. A simple x ray can show if the bones are thin or a simple blood test of calcium MIGHT show it....but if the bones are dissolving they can keep the calcium normal in the blood while it is very low in the bones.

There are other possibilities. there are not many and they are not common.

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