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I see here that one of the parties does not understand that Hebrews 8 is speaking specifically of the 'high priesthood' and with the new covenant there comes a new high priest, not made of flesh, but of eternal spirit. A high priest that never dies. The high priesthood of corruptible flesh that dies is what was fading and soon would be obsolete because the promised high priest spoken of by the prophets had now been fulfilled. So in 70AD when the Temple was destroyed,(Judea was given 40 yrs to repent, 40 being the number of testing) the fleshly high priesthood became obsolete forever. The prophets speak of Messiah cleansing and re-instituting the Levitical priests who will serve under Him during His millennial reign. Only during God's reign on earth can the king also be the high priest as only the high priest can atone for sins before the Father and death and sin are not thrown in the fire until the end of His millennial reign.

Ps 110:4 The LORD has sworn And will not relent, "You are a priest forever According to the order of Melchizedek."