'Attained' in the Bible

What can we say, then? Gentiles, who were not pursuing righteousness, have attained righteousness, a righteousness that comes through faith.

These things happened to them to serve as an example, and they were written down as a warning for us in whom the culmination of the ages has been attained.

Now if perfection could have been attained through the Levitical priesthood for on this basis the people received the Law what further need would there be to speak of appointing another kind of priest according to the order of Melchizedek, not one according to the order of Aaron?