Is there a way to incsearch with folded context

When I do searching, the cursor would jump to the first match, if I set "incsearch".
But it's not true with folded context.
Specifically speaking, What I want to get is that when searching, the folded context would be unfold automatically and the cursor would jump into where the first match is, and moreover when the cursor jump to another line, the unfolded context would be folded again.

Is there any way to satisfy my need?
Thanks,
Kevin

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