invite vs run around

To ask for the presence or participation of someone or something. 

To encourage. 

To allure; to draw to; to tempt to come; to induce by pleasure or hope; to attract. 

To request formally. 

Used other than figuratively or idiomatically: see run, around. 

To move from one end of the consist to the other, so as to pull the train in the opposite direction. 

To change one's position on the court to hit a forehand rather than a backhand, or vice versa. 

To cheat; to be unfaithful to a romantic partner. 

To be very busy doing many different things. 

To go from place to place.