Matthew Poole and continuators on Hebrews 9:22

22 And almost all things are by the Law purged with blood: and without shedding of blood is no remission.

All such things as are capable of purifying, and which were not to be so by the Water of Separation, or by Fire, as Levit. 16.28. Numb. 31.23. were ceremonially purged by Blood.

And without the Death of some living Creature as a Sacrifice, and the Blood of it not only shed, but sprinkled, there could be neither legal Pardon of Giult, nor purging of Ceremonial filth. By this God signifieth to Israel, that without the Blood of Christ his Son, and the Testator of his Testament, shed as a Sacrifice, to purchase and procure both remission and the Spirit, there could be neither pardon of the guilt of Sin, and removal of the punishment, nor purging the filth, or renewing the nature of the Sinner, his Blood being the inestimable price purchasing both for them.

Marginal references: Lev. 17.11.