〜とはいえ
that said, even though, it's true … but
Plain form / Noun + とはいえ · Sentence。とはいえ、…
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とはいえ grants a point, then qualifies it: 春とはいえ、まだ寒い, "it may be spring, but it's still cold". The first half is true, but it doesn't lead where you'd expect.
It follows nouns and plain forms directly; nouns and な-adjectives don't need だ: 仕事とはいえ, 冗談だったとはいえ.
At the start of a sentence, とはいえ means "that said, even so": 練習した。とはいえ、まだ自信はない, "I've practised. That said, I'm still not confident".
It's a more formal relative of といっても (N3). とはいうものの means the same and is a little more literary.
Examples
春とはいえ、まだ寒い。
It may be spring, but it's still cold.
安いとはいえ、必要ない物は買わない。
It may be cheap, but I don't buy things I don't need.
冗談だったとはいえ、言いすぎた。
It was only a joke, but I went too far.
仕事とはいえ、休日に働くのはつらい。
It's my job, I know, but working on a day off is hard.
練習した。とはいえ、まだ自信はない。
I've practised. That said, I'm still not confident.