According to the excerpt from Plato's Republic, tyrants are able to maintain power through the following methods:
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They use taxation to oppress the population - This is indicated by the mention of heavy taxes to keep the poor depressed and at work.
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They use war to rid themselves of political opponents - The excerpt describes how tyrants can get rid of bolder spirits by handing them over to the enemy, thus removing threats to their power.
The other options (providing jobs, distributing land, and building public works) are not explicitly supported by the excerpt provided.