If you haul something which is heavy or difficult to move, you move it using a lot of effort.

If someone is hauled before a court or someone in authority, they are made to appear before them because they are accused of having done something wrong.

A haul is a quantity of things that are stolen, or a quantity of stolen or illegal goods found by police or customs.

If you say that a task or a journey is a long haul, you mean that it takes a long time and a lot of effort.