The correct answer is 'Data persistence'. Data persistence refers to the characteristic of databases to save data in a way that it is preserved over time, despite events like power outages or system restarts. Without data persistence, information would be lost when the database is closed, which would defeat the purpose of long-term data storage. 'Data redundancy' refers to having the same piece of data stored in two or more places, which can be a part of backup strategies but is not the same as persistence. 'Data transience' and 'Data volatility' are not standard terms related to the long-term retention of data in databases.
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