Use of article "the" in below statements

Sentence 1

Wrong as per grammerly :
It is government’s duty to protect these disciplines for future generations.
Correct as per grammerly :
It is the government’s duty to protect these disciplines for future generations.

Why the is required here?

Sentence 2

Wrong as per grammerly :
This huge amount of money can be invested into other sectors instead of arts.
Correct as per grammerly :
This huge amount of money can be invested in other sectors instead of arts.

Why the use of "in" is correct here.