The place he ________ is quite far from here.

问题描述:

The place he ________ is quite far from here.
Hold
The place he suggested______the meetting is far away from here.

to hold
he suggest 是一个插入结构,在句中相当于修饰,但不做成分.可以把它省略,原句句意不变:
the place to hold the meeting is far away from here.
其他的就好理解了吧,to hold the meeting 是the place的定语