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1.
Minj is the Mongolian word for beaver. Beavers are semi-aquatic rodents, they are the only living members of the family Castoridae, which contains a single genus, Castor.

Some care must be taken when using the word Minj. When one uses the word Minj one must ensure that:

(a) One is in Mongolia
(b) That there is a nice furry Beaver in the vicinity.

Oh ! , look a lovely furry wet Minj , lets go fondle and pet it. (Before you say this please note the two usage rules above)
by Dr Lingus May 28, 2008
 
2.
Another word to describe the vagina, vadge, pussy, etc.
She was a real minj eater
by HLV October 26, 2003