You can count cutlery, the noun 'cutlery' is an uncountablenoun.
But you can have one set of cutlery, or two or more sets of cutlery, or many pieces of cutlery, but the noun 'cutlery' itself never takes the plural form.
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Cutlery is called cutlery because you cut with the cutlery.
(Incliding cutting cake with a spoon)
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The plural form for a chest of cutlery is chests of cutlery.
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Cutlery is very vital part of a kitchen. Without cutlery kitchen
is just an empty place.