Longman Dictionary of Contemporary English - slog

~1 v informal 1 slog (away) at especially BrE also slog through to work hard at something without stopping, especially when the work is boring or difficult  (I've been slogging away at this essay for days. | all those books we had to slog through at school | slog your guts out informal (=work extremely hard))  (slogging their guts out to get it finished on time) 2 to make a long hard journey somewhere, especially on foot + down/up/through etc  (We slogged up the hill with the wind blowing against us.) 3 slog it out BrE to fight or argue about something until one side wins ~2 n 1 BrE informal a piece of work that takes a lot of time and effort and is usually boring  (It was a bit of a slog addressing all those envelopes.) 2 a long period of tiring walking  (a long hard slog uphill)