我觉得这个句子是对的,但很不普通。like是及物动词,必须接宾语,当like接从句作宾语时可将从句后置,用虚指的it占据其宾语位置,但接that引导的名词性从句时虚指的it可省略。例如:
She likes (it) that I play the guitar. = She likes the fact that I play the guitar. 她喜欢我弹吉他。《韦氏高阶英汉双解词典》
▲由于状语从句不能作宾语,所以当like之后接状语从句时,虚指的it不能省略,从句在形式上是状语,但在语义上却是宾语。例如:
I don't like it when she is unhappy. 我不喜欢她不快乐时的样子。《21世纪英汉汉英双向词典》
【补充】《葛传槼英语惯用法词典》也认为like可以接that从句,但很不普通。请看该词典所给的例句:
I like that you write to me frequently.
这样的表达虽不普通,但确有英美人这样用,请看COCA例句:
They didn't like it that we came here.
I like it that I don't have to feed animals and milk cows every day twice.
I like it that humanity has its own unique qualities.
She wasn't a strong girl and he didn't like it that she had to work.
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