帮忙看下They think by playing games they can relax themselves 这句话语法对吗?

问题描述:

帮忙看下They think by playing games they can relax themselves 这句话语法对吗?
中文意思是“他们认为通过玩游戏可以放松自己”
They think by playing games they can relax themselves 这样写语法什么的对吗?
另外by和through可以互换吗?也是后面用ing形式?

如果是我,我会写成
They think that they can relax themselves by playing games...
这个地方最好用by,不要用through..
LZ那样写不太妥当..