Leviticus 12:8

8 But if she cannot afford a lamb, she is to bring two doves or two young pigeons, one for a burnt offering and the other for a sin offering. In this way the priest will make atonement for her, and she will be clean.’ ”

Read Leviticus 12:8 Using Other Translations

And if she be not able to bring a lamb, then she shall bring two turtles, or two young pigeons; the one for the burnt offering, and the other for a sin offering: and the priest shall make an atonement for her, and she shall be clean.
And if she cannot afford a lamb, then she shall take two turtledoves or two pigeons,one for a burnt offering and the other for a sin offering. And the priest shall make atonement for her, and she shall be clean.'"
“If a woman cannot afford to bring a lamb, she must bring two turtledoves or two young pigeons. One will be for the burnt offering and the other for the purification offering. The priest will sacrifice them to purify her, and she will be ceremonially clean.”

What does Leviticus 12:8 mean?

John Gill's Exposition of the Bible
Leviticus 12:8

And if she be not able to bring a lamb
As everyone was not in circumstances sufficient to be at the expense of buying a lamb for this purpose, having none of their own:

then she shall bring two turtles, or two young pigeons;
which was a kind and merciful provision for the poorer sort; since it was necessary that by them the favour received should be acknowledged, as well as the sin attending them in such circumstances should be atoned for. This being the offering brought by the mother of our Lord, shows the state of poverty in which she was; and by this, and the circumcision of her child, and the presentation of it before the Lord at the time of her purification, it appears that they were both under the law, and obedient to it:

the one for a burnt offering, and the other for a sin [offering];
Jarchi observes, that in oblations the sin offering goes before the burnt offering, for sin being atoned for, the gift was accepted; but here the burnt offering went first, the reason is not very apparent:

and the priest shall make an atonement for her, and she shall be
clean;
equally the same as if she had brought a lamb, instead of young pigeons, or turtledoves.

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