Furnace filters of higher quality pleated material can sometimes do a better job removing dust from the air than the electronic air filters.
Always start the season with a clean furnace filter, be it electronic or a filter media. Clean or replace it every thirty days. Bring the vacuum cleaner with the assorted attachments and clean out everything in sight.
You could start off with a furnace professional to evaluate the status and quality of your electronic air filter. Then you decide whether to have it repaired, replaced, or retrofitted with a pleated filter. More and more we are selling these expensive pleated filters that replace the electronic filters. They aren’t cheap but they can last up to a whole year.
It’s not a bad idea to have your furnace professionally inspected while you are having the filter checked. Some furnace heat exchangers are failing in less than ten years. While a technician is there, it is a good idea to have older units checked for carbon monoxide leaks. If the furnace is approaching 10-years old, you may consider adding a carbon monoxide tester to your list of household safety appliances.
While you’re at it, check the humidifier. Dry air can make one’s throat sensitive and scratchy. A little humidity can greatly increase the comfort level in the house. Also see this furnace and humidifier preparation article.