Explanation:

- Option 1: B-iii-D

- Sentence: There was additional work to be done before they annoyed the neighbours.

- This doesn't logically connect the ideas.

- Option 2: A-i-F

- Sentence: Our best teams can still be competitive lest they put out their strongest sides.

- "Lest" is not correctly used here as it means "to avoid the risk of."

- Option 3: A-ii-F

- Sentence: Our best teams can still be competitive as long as they put out their strongest sides.

- This is grammatically and logically correct.

- Option 4: B-ii-E

- Sentence: There was additional work to be done as long as all the troops would be ready.

- This doesn't fit logically.

- Option 5: C-i-E

- Sentence: They were afraid to complain about the noise lest all the troops would be ready.

- "Lest" and "troops" don't logically fit here.