You did not finish the question you had. Please complete it so I can help you.
Do you know if they obtained the necessary building permits to do the installation?
These issues are all governed by the building code. When there is a major installation of a mechanical ventilation system, there must be a permit obtained and a building inspector makes sure that it is installed in a manner to avoid issues about which you complain. If the builder did not obtain the necessary permits or have the necessary approvals that involves the building the department. If you want to challenge how the vents were installed that will also involve a challenge to the approval of the building department. I do not see how you plan to "resolve" this without the departments involvement.
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