like you said
It's not wrong.
In the right context, the preposition "like" can be used informally as an adunct:
(1) The shops stay open all night in New York, just like you said.
(2) Like you said, Ed is doing really well".
In both these examples, the underline like phrase functions as an adjunct, an optional and omissible item.
Like is in competition with as, which would generally be preferred in formal style (cf. As you said, Ed is doing really well").
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