Ozone Generators that are Sold as Air Cleaners : https://www.epa.gov/indoor-air-quality-iaq/ozone-generators-...
Ideally, don't use ozone-generating or other gimmicky devices. Ventilate the space instead. Usually, unless there is a high pollution event or it is peak allergy season, the air outside is lower in contaminants than indoor air.
Vacuum frequently using a machine with a HEPA filter and run your home's air circulation system with a MERV13 filter, or get/make an air filter. (https://www.youtube.com/watch?v=aw7fUMhNov8)
If you feel you must use an ozone generating device, don't use it if the spaces are occupied and ventilate them thoroughly before occupying them again.
Definitely don't use them along with other cleaning/deodorizing chemicals, as the result of mixing those with ozone is complex and poorly understood.
It is not true though that the air will become amazingly clear based on the presence of the filter. I used a 11 for a long time and it certainly didn't stop everything from getting covered in dust anyway. My place is not airtight.
A dirty filter (do you know how many people don't ever change their filter?) will put far more load on a blower than a better filter.
A MERV11 is significantly less effective, and wouldn't affect dust production anyway since it is created mostly by your skin, clothing fibers, etc.
During the California wildfires I bought several air sensors and placed them around my house and experimented with different filters. a MERV16 with a carbon layer reduced VOCs, PM2.5, etc all down to extremely low levels in every room.
High MERV ratings put more load on the blower equipment.
A high MERV filter will remove bacteria/viruses as well as a bunch of other stuff.