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Magic could be used, but, if and when real Magic usage needs of Mana becomes more essential for truly critical needs, expending it for clearing Forests might become a low priority and thus negate that possiblilty.
How about as the Mill collect the Lumber, the area around the Mill proper slowly become devoid and usable? As an aside, if you build a mill on a small tract then it would run out of Trees to harvest, forcing you to seek a new location, or have all your lumber Caravaned in.