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Animation jquery search in page collection list

Hello everyone !

I have been working for several months on a website for an interim agency, and I have to make a page containing job announcements previously submitted by the employees of the company.
I used jquery to be able to search directly on the page. Only downside, I find that the search without animation, raw, does not at all help the user to realize that the results are in front of him. I would like to add a simple fade out fade in when a change is made in the list collection. problem, i don’t know anything about jquery. can someone help me?

here is the read-only link :