回答
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I found a notebook that my mother used 30 years ago. The color was faded with age.
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I found a faded old notebook that my mother used 30 years ago.
ノート = notebook ("note"は「メモ」という意味です)
色褪せる = to fade, to lose color
回答
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I found a notebook that my mother used 30 years ago and its color was faded.
「色あせていて」というのは「fade out」/ 「got faded」になります。