investigate
vi. 调查；研究
eg. We should not jump to conclusions. Let's investigate first.
我们不应草率下结论， 还是先调查一下吧。

in the background of
在幕后
eg. His tower can be seen in the background of this early sketch.
从这幅前期草稿的背景中可以看到他的宝塔。

proven
adj. 被证实的
eg. He has proven his ability to weather a storm and come out on top,important for any celebrity.
他已证明了自己经受风雨出人头地的能力，这是成为名流的关键。