When you get L3 farming you can use one or more masters to get rid of the algae, but they don't have to be solely farmers; one other discipline will do as well. The only way to get masters is for them to work successfully over time. There's no real shortcut (other than an island event). Masters in building and farming tend to take a while because they have to do a lot of walking back and forth while carrying out their tasks.
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To err is human; to arr is pirate.