Serious Lippage, as in this pic, often demands an area of at least 40 sqft area of resurfacing in order to minimize unevenness.

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A flat floor is necessary before polishing.  Pits and scratches are also treated at this time.

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After hand grinding severe lippage, it may take several passes with diamond grits of 40 to 100 before moving up to the high polishing grit sizes.