New Revised Standard Version
so that you may not be mixed with these nations left here among you, or make mention of the names of their gods, or swear by them, or serve them, or bow yourselves down to them,

Contemporary English Version
Don't have anything to do with the nations that live around you. Don't worship their gods or pray to their idols or make promises in the names of their gods.

New American Bible
or mingling with these nations that survive among you. You must not invoke their gods by name, or swear by them, or serve them, or bow down to them,

Douay-Rheims Bible
Lest after that you are come in among the Gentiles, who will remain among you, you should swear by the name of their gods, and serve them, and adore them:

Lest after that you are come in among the Gentiles, who will remain among you, you should swear by the name of their gods, and serve them, and adore them:

Joshua 23:12 But if you will embrace the errors of these nations that dwell among you, and make marriages with them, and join friendships:

Exodus 23:33 Let them not dwell in thy land, lest perhaps they make thee sin against me, if thou serve their gods; which, undoubtedly, will be a scandal to thee.

Deuteronomy 7:2,3 And the Lord thy God shall have delivered them to thee, thou shalt utterly destroy them. Thou shalt make no league with them, nor shew mercy to them: . . .

Proverbs 4:14 Flee from it, pass not by it: go aside, and forsake it.

1 Corinthians 15:33 Be not seduced: Evil communications corrupt good manners.

2 Corinthians 6:14-17 Bear not the yoke with unbelievers. For what participation hath justice with injustice? Or what fellowship hath light with darkness? . . .

Ephesians 5:11 And have no fellowship with the unfruitful works of darkness: but rather reprove them.

neither

Exodus 23:13 Keep all things that I have said to you. And by the name of strange gods you shall not swear, neither shall it be heard out of your mouth.

Numbers 32:38 And Nabo, and Baalmeon (their names being changed) and Sabama: giving names to the cities which they had built.

Psalm 16:4 Their infirmities were multiplied: afterwards they made haste. I will not gather together their meetings for bloodofferings: nor will I be mindful of their names by my lips.

Hosea 2:17 And I will take away the names of Baalim out of her mouth, and she shall no more remember their name.

to swear

Jeremiah 5:7 How can I be merciful to thee? thy children have forsaken me, and swear by them that are not gods: I fed them to the full, and they committed adultery, and rioted in the harlot's house.

Zephaniah 1:5 And them that worship the host of heaven upon the tops of houses, and them that adore, and swear by the Lord, and swear by Melchom.