わけじゃない
Usage
(V/いA/なAで/Nな) + わけじゃない Used to express "it doesn't necessarily mean that -"
Examples
料理が作れないわけではないが、忙しいからマリ作らない
It's not that I can't cook - I'm busy, so I don't have the time
「えっ！日本人なのに、刺身が嫌いの?」「日本人が皆、好きなわけじゃないよ」
"What? You're Japanese, and yet you don't like sashimi?" "Not every Japanese person likes it, you know."