Alfalfa is a member of the pea family and is grown indoors as sprouting seeds and in the garden as a green manure. Alfalfa is also grown by farmers as a forage crop.
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As a member of the pea family Alfalfa also fixes nitrogen from the air into it's root nodules which it then releases once dug in. Digging the plant in adds humus and should be done while the plants are young and fresh as the nitrogen will be consumed breaking down older woody growth.