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Reputedly is the adverb: according to what people say. "She is reputedly the richest woman in town" means that is the story going around, not a fact you have checked. It is a polite, slightly formal hedge — useful in news and essays. In everyday talk, people are more likely to say "apparently" or "they say". It does not make the claim stronger; it makes the speaker a little safer.
據說
原始詞典資料1 筆記錄
以下是外部詞典記錄的用法，原文照列，我們還沒有寫成教學內容。上面的說明才是我們自己寫的；有些用法可能上面已經講過了。
reputedlyadv
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According to repute or general belief.
- Near-synonyms: reportedly, purportedly, putatively, rumoredly, supposedly, allegedly, ostensibly, possibly, probably, likely, plausibly
- The old mansion was reputedly haunted, but few were willing to go and investigate.
資料來源：英文維基詞典 English Wiktionary（CC BY-SA 4.0）。 原文照列，未經改寫。