Can a Person be Sanctified by Trying to Keep the Law?

We reckon therefore that a man is justified by faith apart from the works of the law. Romans 3.28.
The concepts towards the law in today’s church are of two opposite kinds:

(1) People are saved by grace and not by keeping the law; but to attain sanctification we must keep the law.

(2) Again, people are saved by grace and not by keeping the law; and hence we need not keep the law after we are saved, though we do keep the commandment of grace.

The latter concept is correct. The gist of the Letter to the Romans is that no sinner can be justified by the works of the law; while the theme of the Letter to the Galatians is that no saved person can be sanctified by the works of the law.

These two letters have sufficiently proven that neither justification nor sanctification comes by the works of the law.