Is it correct to say the following?
I don't like David going to meet Ann everyday.
David going to meet Ann everyday is not a good sign.
Where "David going to meet Ann everyday" is considered as a gerund phrase.
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In both examples, it needs to be "David's going."
Edited to add the requested justification.
possessive with gerunds
Using the possessive before a gerund
We often put a noun or pronoun in front of a gerund to show who or what is doing the action in the gerund. This noun or pronoun is called the subject of the gerund. In formal writing, the subject of the gerund should be in the possessive form: