'Searched' in the Bible

it seemed fitting for me as well, [and so I have decided] after having carefully searched out and investigated all the events accurately, from the very beginning, to write an orderly account for you, most excellent Theophilus;

To me, [though I am] the very least of all the saints (God’s people), this grace [which is undeserved] was graciously given, to proclaim to the Gentiles the good news of the incomprehensible riches of Christ [that spiritual wealth which no one can fully understand],

but [instead] when he reached Rome, he eagerly searched for me and found me—

Regarding this salvation, the prophets who prophesied about the grace [of God] that was intended for you, searched carefully and inquired [about this future way of salvation],