Cleaning a house with no ventilation is hardly a big task. Since there are hardly any windows or the windows are hardly open there is no chance of dust entering the house.  But still if you find the house dusty, it could be due to accumulation of a large amount of furniture in the house. In such a case the following points would be very useful.

Remove some furniture and keep only the required ones.

Dust the house everyday; if this is not possible dust it twice a week.

Get hold of a damp cloth and rapidly dust through all the furniture. It would hardly take 5 minutes.

An ostrich feather duster is said to be good for dusting as it helps remove dust easily.

Clean your pets regularly, pets like humans shed skin regularly and contribute to formation of dust in the house .

Carpets add a lot of dust; they shed out fibers as well as don’t let go of dust that clings to
 them.

Dust mites find it hard to survive during cold weathers. So dehumidifying the house helps it to stay dust free.

Regularly vacuuming and installing a high quality filter helps the house stay dust free.

Keep these points in mind and have a dust free house.