Modern Jews, like Jews centuries before Christ, believed their suffering atoned for sing.Faithful Jews even today are encouraged to offer a prayer when seriously ill or near death called the Viduy (or Vidui) prayer:
"I acknowledge before You, Lord my G-d and the G-d of my fathers, that my recovery and my death are in Your hands. May it be Your will that You heal me with total recovery, but, if I die, may my death be an atonement for all the errors, iniquities, and willful sins that I have erred, sinned and transgressed before You, and may You grant my share in the Garden of Eden, and grant me the merit to abide in the World to Come which is vouchsafed for the righteous…"