An employer's passive method for saying, "Thanks, but no thanks," when an employee gives two-weeks notice. The employee will walk in one morning to a file box on his or her desk. The box will be used by the employee to pack his or belongings before being escorted out of the building.
I gave the firm my two-weeks notice on Wednesday when I found a better job, and had every intention of working the full notice, but by Friday they had decided just to brown-box me.
Brownexed is a word commonly used in Mid-Western American subculture to refer to someone's opinion being absolutely steamrolled and proven wrong a.k.a getting figuratively shitted on.
It probably originates from the color of shit itself, with reference to the shit overtaking the opinion at hand; this draws similarity to the phrase 'whitewashed'. It is essentially a form of ownage.
Dude 1: "I think if I recycle I can make a difference in the world."
Dude 2: "You douchebag, good luck convincing all of China to do the same, not to mention the rest of the world. Think before you speak."
Dude 1: "Wow...I just got totally brownexed...this is awkward"