How can constitutional monarchies also be democracies?

A constitutional monarchy is a form of monarchy in which the sovereign exercises authority in accordance with a written or unwritten constitution. Constitutional monarchy differs from absolute monarchy (in which a monarch holds absolute power) in that constitutional monarchs are bound to exercise their powers and authorities within the limits prescribed within an established legal framework. Constitutional monarchies range from countries such as Liechtenstein, Monaco, Morocco, Jordan, Kuwait and Bahrain, where the constitution grants substantial discretionary powers to the sovereign, to countries such as the United Kingdom, Spain, Belgium, Sweden, Malaysia and Japan, where the monarch retains significantly less personal discretion in the exercise of their authority.

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