I filter film chemicals, but usually not paper chemicals. By the time a batch of my paper developer is truly spent, it is always chock full of hairs, dust, bugs, paper shavings, you name it. Maybe my gunk is worse then most, as I usually replenish, rather than mix new developer. However, I have never noticed an ill effect of any kind, so I don't bother to filter any more. I actually find replenished developer quite nice to use. Changes in contrast appear more subtly, and print-to-print consistency seems better. I am pretty unscientific about my replenishment. I just keep a running total of the capacity and how many sheets I've run. I subtract remaining sheets when I develop paper, and I add remaining sheets when I add some fresh solution. I usually add fresh solution 500 mL at a time to a 2 L batch of developer.