けど、そんな

but not that...

→ けれど
phrase Rare #30,981
but not that... けど expresses contrast or softens what comes before. そんな or そんなに means “that” or “that much,” often downplaying the degree of an adjective or description.
JA: この店は高いけど、そんなにおいしくない。
EN: This restaurant is expensive, but it isn't that delicious.

したいけど、そんな時間はない

I want to, but I don't have that kind of time.

クラスメイト僕も好きなんだけど、そんな人気があるのかどうかわかんない

My classmates and I like it too, but I'm not sure if it's really that popular.

年だけど、そんなじゃないわ

I may be old, but I'm not that old.

料理はするけど、そんな楽しくはない

I do cook, but I don't really enjoy it.

申し訳ないんだけど、そんな高価なものは受け取れない

I'm sorry, but I can't accept something that expensive.