though; although; nonetheless
とはいえ marks a concession, meaning 'though' or 'even so', often used in formal or written contexts.
とはいえ is a set phrase that follows a statement to acknowledge it, then introduces a contrasting point. It is similar to 'although' or 'even though' in English, but carries a nuance of 'that may be true, but...'. It often appears in formal writing, speeches, or careful spoken Japanese.
Unlike けれども or が, which simply connect clauses, とはいえ emphasizes the concession more strongly. It can be used after a sentence or within one, and often appears at the beginning of a second sentence to link back to the previous one. For example, you might first state a fact, then use とはいえ to say something that seems contradictory but is also true.
It is a fairly formal expression, so in casual conversation you would more likely hear でも or けど. However, using とはいえ in speech is not wrong; it just adds a serious, considered tone.