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slog
slog through something
to wade or trudge through something, such as mud or snow. Do I have to slog through the snow to go to school? Can't you drive me? When I was your age, I slogged through snow twice this deep to get to school.
slog/sweat/work your guts out
(informal) to work very hard or to use a lot of effort to do something You've got this wonderful man slogging his guts out for you, and all you do is criticize him! After working his guts out at the gym, he spoilt it all by going straight to the pub.
See hate guts, spill gutsslog away
v. To work diligently for a lengthy period of time: The student slogged away on the algebra assignment.
slog through
v. To walk or progress through something with a slow heavy pace: The explorers slogged through the swamp. I slogged through both volumes of the author's philosophical writings.