1.此成分并非所谓的see sb doing sth结构.
2.see在此句中为简单的及物动词,his strong interest是see的宾语,而in this game为介宾短语做interest的后置定语.
同理,of 22 men running after a ball也是后置定语,修饰game.
3.更准确的说,running after a ball并非是（22）men的后置定语,而是介词of的真正宾语.
既然是做宾语,自然不能用动词原形run,而只能用动名词running.
4.22 men running after a ball = 22 men's after a ball.
此为典型的动名词短语的复合结构,即sb/one's doing sth.
再如：Do you mind my smoking?= Do you mind me smoking?
其中的my smoking即one's doing sth,而me smoking即sb doing sth.