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You can vacuum your velour furniture regularly with upholstery attachment tools, but other than that, I would recommend that you get your chair professionally cleaned if it requires more than that. Velour will change its appearance and shape if you wet it down with washing, and the dye may leach. Most professionals will either steam-clean, dry-clean or foam-clean it - be sure to ask them what they recommend. I would also recommend that you get them to apply a stain-resistant guard on the chair after it is cleaned.