Each of the provided sentences contains both a noun phrase and a verb phrase. Here’s a breakdown:
1. **The pigeons have not landed on my neighbor's balcony in a long time.**
- Noun phrase: "The pigeons"
- Verb phrase: "have not landed"
2. **He sat on my grandmother's favorite armchair.**
- Noun phrase: "my grandmother's favorite armchair"
- Verb phrase: "sat"
3. **Some dog breeds have docked tails.**
- Noun phrase: "Some dog breeds"
- Verb phrase: "have docked"
4. **You can find frogs and insects by the pond if you look closely enough.**
- Noun phrase: "frogs and insects"
- Verb phrase: "can find" (and "look closely enough" in the subordinate clause)
Since all options meet the criteria of containing both a noun phrase and a verb phrase, any of them would be correct. However, if you are looking for a single answer, you can choose any of the sentences, as they all fulfill the requirement. For example:
**The pigeons have not landed on my neighbor's balcony in a long time.**