I have thick eye brows, but usually well shaped ones. I do like to get them waxed for special occasions, just to get ill-behaved stray hairs, not a major shape make-over, but I hate plucking and think that plucking them out one by one with tweezers is a socially acceptable form of self abuse. Although waxing hurts too, but if you get good quality wax, you only have to do it once for each brow...cheap wax is just torture.
It would be too easy to just shave them, but I heard the hairs grow back in the opposite dirrection, which has been proven to be true after the 80's fad of shaving 2 vertical lines in the eyebrows...well when it grew back for, those who did it, they had bushy eyebrows when before they didn't.
But to answer your question...since you have a unibrow...that will draw ridicule in some circles, but you dont need to go all out and get a pencil thin line, just keep the brows seperate and clean up stray hairs. I recomend that you get them waxed though cuz plucking is just self abuse.
Jojo
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All art is a kind of confession, more or less oblique. All artists, if they are to survive, are forced, at last, to tell the whole story; to vomit the anguish up.
-James Baldwin