score:27
Matthew Henry Explains this passage with the following in his Commentary:
Some make the slain bird to typify Christ dying for our sins, and the living bird Christ rising again for our justification. The dipping of the living bird in the blood of the slain bird intimated that the merit of Christ's death was that which made his resurrection effectual for our justification. He took his blood with him into the holy place, and there appeared a lamb as it had been slain. The cedar, scarlet wool, and hyssop, must all be dipped in the blood; for the word and ordinances, and all the operations of the Spirit, receive their efficacy for our cleansing from the blood of Christ.
Note that if you read the entire passage you will see that this is a cleansing ceremony after someone previously diagnosed with leprosy had been pronounced free of the disease:
Leviticus 14:3 (NIV) (emphasis mine)
3 The priest is to go outside the camp and examine them. If they have been healed of their defiling skin disease,
Thus this is not a cure, but a purification ritual following a cure. As Henry says some people see this as pointing to the cleansing blood of Christ.