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The LDS Church teaches that while not all marriages are eternal (see Luke 20:34-35), but that a marriage which is sealed is, and will continue in heaven. Additionally parents that are sealed to their children will still play a parental role in the afterlife.
As for what marriage will be like in the next life, we do not know, but some sources suggest that those in the celestial kingdom will be able to keep having children forever (if this process is the same or different is similarly up to speculation).
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Don't think so. However, if you are among those who believe in the resurrection hope, being brought back to life in similar fashion such as Lazarus or Jairus' daughter, people will continue to resume God's original plan, that is, to populate the earth, as seen mentioned in The Book of Genesis.