1 Corinthians 6

Amulek was asked concerning the Savior -

"Shall he save his people in their sins? And Amulek answered and said unto him: I say unto you he shall not, for it is impossible for him to deny his word."  (Book of Mormon | Alma 11:34)

Helaman would later teach his sons -

"...remember also the words which Amulek spake unto Zeezrom, in the city of Ammonihah; for he said unto him that the Lord surely should come to redeem his people, but that he should not come to redeem them in their sins, but to redeem them from their sins."  (Book of Mormon | Helaman 5:10)

Obviously, the Savior will not save us in our sins.  But He will redeem us from our sins as we repent and keep His commandments.  Paul taught much the same doctrine to the Corinthians -

"Know ye not that the unrighteous shall not inherit the kingdom of God? Be not deceived: neither fornicators, nor idolaters, nor adulterers, nor effeminate, nor abusers of themselves with mankind,

10 Nor thieves, nor covetous, nor drunkards, nor revilers, nor extortioners, shall inherit the kingdom of God."  (New Testament | 1 Corinthians 6:9 - 10)

But only those that repent, receive saving ordinances and keep His commandments and receive His cleansing grace for -

"...such were some of you: but ye are washed, but ye are sanctified, but ye are justified in the name of the Lord Jesus, and by the Spirit of our God."  (New Testament | 1 Corinthians 6:11)