Move up and Run up

Move up verb - Move upward.

Run up and move up are semantically related in raise topic. In some cases you can use "Run up" instead a verb "Move up", when it comes to topics like lift.

Run up verb - Pile up (debts or scores).

Move up and run up are semantically related in raise topic. Sometimes you can use "Move up" instead a verb "Run up", if it concerns topics such as lift.