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1.
endure excruciating pain, hardship or struggle
Two people finishing up a big project:

"I'm hungry! I feel like I'm gonna die!"

"Just thug it out - we're almost done!"
by jognac May 09, 2013
 
2.
put ya dick into a black bitch just the way she am even if that bitch got a shower with no conditioner in it
thug it out on that bitch, charles!
by amber adam brock quinn November 19, 2007