Quick questions: javelins with dueling style and natural weapon proficiency

[Mellack]

I have made neither assertion.

I have agreed that it is "wielded" when it is thrown and it hits the target and deals damage even though it is not in one hand when it hits the target and deals damage.

Also, I have made no claim that the number of hands wielding it changes between the attack roll and the damage roll. We are talking about a thrown weapon so the weapon is wielded when it hits the target and deals damage and it is not in one hand (or any hand) when it hits the target and deals damage.

Is your claim that a character can both attack and do damage with a weapon that is not in their hand?