'Really' in the Bible

Then if they will really learn the ways of My people, to swear by My name, ‘As the Lord lives,’ even as they taught My people to swear by Baal, they will be built up in the midst of My people.

then in that case listen to the word of the Lord, O remnant of Judah. Thus says the Lord of hosts, the God of Israel, “If you really set your mind to enter Egypt and go in to reside there,