Filtering and fining are techniques that are used to clarify wine. Filtration works by straining particles out of the liquid. Fining works by the addition of a material (there are a number of different fining agents)which binds to the particles making them heavy enough to sink and then be removed.
Winemakers argue about how these techniques impact wine quality. I'm not sure there's any consensus, but there are passionate advocates on both sides of the question.
Over the years I have not filtered or fined the red wines. I have filtered the Chardonnay because of the difficulty of bottling the wine without disturbing the lees at the bottom of the barrel. However the 2008 Chardonnay is neither filtered nor fined.