My 2yo had a blocked duct up to 18mo. It finally cleared up when I stepped up massaging it more firmly and longer during diaper changes, because I was uneasy doing surgery with him having to go under GA, but that was the next step for us. After a week, it was suddenly clear and has been since then, when I had been removing crusties and wiping tears since birth. Thankfully there were never any infections, it was just an annoyance. But I honestly didn't feel like waiting until he was 3, 4, 5 for it to clear up like it has for some kids, so we would have considered surgery.
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Now, my 5 week old has two blocked ducts
so I need to be more faithful to massage early and often to help it clear up sooner. It's hard to remember to trim my pinky nail often enough so that I can get in the corner of her eye more.
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So yes, it can clear up, but you need to be massaging it. I'd sing Itsy Bitsy Spider one time during each change, and I'd rub it firmly until the song was done. DS put up with it thankfully but didn't love it!