Each of the sentences provided contains both a noun phrase and a verb phrase. Here’s the breakdown:
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"You can find frogs and insects by the pond if you look closely enough."
- Noun phrases: "frogs and insects," "the pond"
- Verb phrases: "can find," "look closely enough"
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"The pigeons have not landed on my neighbor’s balcony in a long time."
- Noun phrase: "The pigeons," "my neighbor’s balcony"
- Verb phrase: "have not landed"
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"He sat on my grandmother’s favorite armchair."
- Noun phrase: "my grandmother’s favorite armchair"
- Verb phrase: "sat"
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"Some dog breeds have docked tails."
- Noun phrase: "Some dog breeds," "docked tails"
- Verb phrase: "have"
Therefore, all of the sentences contain both a noun phrase and a verb phrase. If you need to choose one specific example, any of the sentences would be correct.