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My prefix makes rulers,

My suffix is ruled,

My infix describes its own letters,

My whole keeps food cooled.

Edit: here are some hints:

While the answer to this riddle does indeed help to keep food cool, that may not be the first thing you think about when hearing the word.

What with all the talk about rulers and ruling, this is in many ways a riddle about power.

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The answer is:

Electricity

My prefix makes rulers,

In a representative democracy, you elect a ruler.

My suffix is ruled,

A city is a place governed by a ruler.

My infix describes its own letters,

tri is a three-letter word for three. Hence, it describes it own letters. This one was clever!

My whole keeps food cooled.

Electricity is used by your refrigerator and freezer to store your foods at a low temperature, among many other things.

Good riddle!

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Supermarket

Being Super is essential for a ruler as one needs to be better than the norm.

Markets are governed by a manager.

Mark, the letters I guess are marks on a piece of paper when you write them down.

Supermarkets keeps food chilled.

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    $\begingroup$ A very good try, but not the answer I had in mind. (In particular, none of the fixes are substrings of any other fixes, though they may have overlap.) I'll add a hint or two to make things less ambiguous. $\endgroup$ – Ricky Tensor Sep 13 at 21:58

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