Zhè zuò lǎo zháizi yǐjīng yǒu liǎng bǎi nián de lìshǐ le.
This old residence has a 200-year history.
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宅子 has an old-fashioned, slightly grand flavor — it suggests a substantial home, often with a courtyard, rather than a modern apartment. For 'apartment' use 公寓; for a generic 'house' say 房子.