it is worth to do sth.

不可以填to invest, in

worth为形容词，意为值得。

1. worth： be worth + n. 当名词为金钱时，表示…… 值得……

2.be worth doing sth. ……某事值得被做

The question is not worth discussing again and again.

另外：worthy：be worthy of +n. 当名词为抽象名词时表示……值得……

be worthy to be done 某事值得被做

The question is not worthy to be discussed againand again.

worth-while： be worth-while to do sth 值得做某事

worth while： It is worth while doing sth

It is worth while sb to do sth.

不可以
be worth doing 是固定搭配

to invest, in 不可以
Be worth doing sth

只能说be worth doing sth.
如果你想加to do的话就说be worthy to do sth.

to invest, in 不可以