The phrase "old covenant" refers to an agreement or contract between God and the people of Israel in the Bible. It was established before Jesus came, and it involved following a set of laws and rules called the Mosaic Law. Full definition
Some observe every letter and old covenant law, others less so, but that doesn't make us wrong, non believers, whatever. (nakedpastor.com)
It is our belief that when we get bored with all of civilization's hectic attempts to find «something new and different,» this age - old covenant remains fresh. (religion-online.org)
They may claim more rwness and more dependence given their often dire circumstance but the theology is more old covenant than even found in the USA, no personal grace / individual freedom whatsoever. (nakedpastor.com)