as one gets older年を取る means “to get older,” and 〜につれて means “as” or “with.” This phrase describes a gradual change that occurs with aging. 年をとるにつれて is an equally common spelling.
JA: 年を取るにつれて、昔のことをよく思い出すようになった。
EN: As I get older, I’ve started remembering the past more often.