Any time you are soaking one (acetone or whatever solvent) or packing it with Whiting, you are only able to remove the oil that comes to the surface. You need to give the remaining oil, once beneath the surface, time to run. Use MILD heat to bring that to the surface, sunlight (ie, on the dash of a car sitting in the sun) or artificial heat. You will need to repeat that process several times to get a good result. It took a long time for the oil to run into the wood; it will take some time and patience to get it out.
