〜を除いて
except for, apart from
Noun + を除いて / を除き · を除く + Noun
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を除いて means "except for, excluding": 日曜日を除いて、毎日営業しています, "we're open every day except Sunday". 除く means "to remove, to exclude".
It's a little more formal than 以外, and it's common in notices, rules and weather forecasts: 一部の地域を除いて、晴れるでしょう, "apart from some areas, it'll be sunny".
In formal writing, it's を除き. Before a noun, it's を除く: 日曜日を除く毎日, "every day except Sunday".
Compare を問わず ("regardless of"), which includes everything, and に限り ("limited to"), which includes only one thing. を除いて sits between them: everything, minus one or two exceptions.
Examples
日曜日を除いて、毎日営業しています。
We're open every day except Sunday.
一人を除いて、全員が賛成した。
Everyone except one person agreed.
子どもを除き、入場料は千円です。
Admission is 1,000 yen, except for children.
一部の地域を除いて、晴れるでしょう。
Apart from some areas, it'll be sunny.
祝日を除いて、郵便局は開いている。
The post office is open except on public holidays.