Contradiction with Exodus 34:12
This verse instructs the Israelites to take heed not to make covenants with the inhabitants of the land, contradicting the allowance of testing through living among them.
Exodus 34:12: Take heed to thyself, lest thou make a covenant with the inhabitants of the land whither thou goest, lest it be for a snare in the midst of thee:
Contradiction with Deuteronomy 7:2
This verse commands the Israelites to utterly destroy the nations and make no covenants, which contradicts allowing nations to remain as a test.
Deuteronomy 7:2: And when the LORD thy God shall deliver them before thee; thou shalt smite them, [and] utterly destroy them; thou shalt make no covenant with them, nor shew mercy unto them:
Contradiction with Deuteronomy 20:16-17
This verse commands the Israelites to not leave anything alive in certain cities, which contradicts the allowance for these nations to test Israel by living among them.
Deuteronomy 20:16-17: But of the cities of these people, which the LORD thy God doth give thee [for] an inheritance, thou shalt save alive nothing that breatheth:
Contradiction with Joshua 23:12-13
This warns that if Israelites intermarry or associate with these nations, they will be snares, contrary to the idea of allowing them for the purpose of testing.
Joshua 23:12-13: Else if ye do in any wise go back, and cleave unto the remnant of these nations, [even] these that remain among you, and shall make marriages with them, and go in unto them, and they to you:
Contradiction with Psalm 106:34-36
This verse condemns not destroying the nations and serving their idols, which stands in contrast to Judges 3:4 where nations are left to test Israel.
Psalm 106:34-36: They did not destroy the nations, concerning whom the LORD commanded them:
Paradox #1
This verse talks about God allowing certain nations to remain to test Israel's obedience. The contradiction could be the idea of a loving and just God deliberately setting up a situation where His people might fail, which seems inconsistent with the concept of a supportive and guiding deity.