New Revised Standard Version
sin was indeed in the world before the law, but sin is not reckoned when there is no law.

Contemporary English Version
Sin was in the world before the Law came. But no record of sin was kept, because there was no Law.

New American Bible
for up to the time of the law, sin was in the world, though sin is not accounted when there is no law.

Douay-Rheims Bible
For until the law sin was in the world: but sin was not imputed, when the law was not.

For until the law sin was in the world: but sin was not imputed, when the law was not.

until.

Genesis 4:7-11 If thou do well, shalt thou not receive? but if ill, shall not sin forthwith be present at the door? but the lust thereof shall be under thee, and thou shalt have dominion over it. . . .

Genesis 6:5,6,11 And God seeing that the wickedness of men was great on the earth, and that all the thought of their heart was bent upon evil at all times, . . .

Genesis 8:21 And the Lord smelled a sweet savour, and said: I will no more curse the earth for the sake of man: for the imagination and thought of man's heart are prone to evil from his youth: therefore I will no more destroy every living soul as I have done.

Genesis 13:13 And the men of Sodom were very wicked, and sinners before the face of the Lord beyond measure.

Genesis 18:20 And the Lord said: The cry of Sodom and Gomorrha is multiplied, and their sin is become exceedingly grievous.

Genesis 19:4,32,36 But before they went to bed, the men of the city beset the house, both young and old, all the people together. . . .

Genesis 38:7,10 And Her, the first born of Juda, was wicked in the sight of the Lord: and was slain by him. . . .

but sin.

Romans 4:15 For the law worketh wrath. For where there is no law, neither is there transgression.

1 Corinthians 15:56 Now the sting of death is sin: and the power of sin is the law.

1 John 3:4,14 Whosoever committeth sin committeth also iniquity. And sin is iniquity. . . .