The main cause of leaf tips turning brown is over-fertilization. Too much fertilizer can burn the plant, and your peace lily is telling you this by displaying brown tips. Cut back on the chemicals for a while, and perhaps repot your plant.
Fluoride, chlorine, and hard water are other reasons for leaf tips turning brown. Again, this has to do with an overabundance of chemicals. It's best to use distilled or rainwater on your plants.
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