Very rarely (I have noticed this happen twice), crows will eat crops within the scarecrow's range. The first time it happened it was in the scarecrow range, about 8 tiles out from a scarecrow, but I thought maybe I was wrong so I started putting scarecrows within 7 tiles of my crops on all sides. A crow was eating a crop within a 7-tile range of the scarecrow pictured.
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A couple images for clarification since it may be kind of hard to see through the corn/hops maze:
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I am using Windows, playing through Steam. English language, single player.
Hopefully I posted everything right.