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[searchinmyroots]

There are sacrifices for sins in the Hebrew Bible and a need for cleansing from sins (Ps. 51 among many others).  I can't get my head around it that these ideas seem  out of reach in Judaism today. Maybe people are much better today than they were back then.

You may not believe it, but "work out your salvation" (Philippians 2) is also part of the Christian teaching

I'm not sure why you think it is out of reach in Judaism today. 

It's not about the psychical sacrifice, it's about returning to G-d. That's why Psalm 51 says G-d does not desire our psychical sacrifices.

It is repeated over and over again in the Hebrew bible that we are to return to G-d and He will forgive us, without a sacrifice.

Teshuvah