Check out my diary, I think I had the same issue, the spots aren't going to go away but to properly wash the leaves use potassium soap dissolved in water and spray it on the leaves, besides cleaning, it kills quite a few bugs that might be on your plant, which is probably what it is and you just don't see it.
https://www.amazon.es/Jabones-Beltr%C3%A1n-56058-Quitamanchas-natural/dp/B00X7VU6L2