GLUT-2 is used to transport glucose into the gut, pancreas and liver. (In that order)
GLUT-4 is used to carry glucose from the liver to the rest of the body. So the liver needs this in order to store and distribute to adipose and muscle tissue.
GLUT4 is only used to transport glucose to areas of the body that need glucose. For example, when you exercise your muscles will send a signal saying "Help I need glucose for energy!" and the liver will send glucose saturated GLUT4 to the rescue.
Think of it as GLUT2 absorbing the glucose in the liver, then the glucose is taken up by the GLUT4 for later use.