Removing DOM and add it back again

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I have a simple JS function that removes certain classes while clicking on a "filter menu". The problem is that I don't know how to show those removed classes once I click on "All" i.e.

I can't use display:none, opacity:0 or visibility:hidden, I need to completely remove the DOM.

Thanks for any help.

$(document).on("click",".all",function(){$(".campaign,.editorial,.lookbook,.portrait").appendTo("body")})
$(document).on("click",".cam",function(){$(".editorial,.lookbook,.portrait").detach()})
$(document).on("click",".edi",function(){$(".campaign,.lookbook,.portrait").detach()})
$(document).on("click",".loo",function(){$(".campaign,.editorial,.portrait").detach()})
$(document).on("click",".por",function(){$(".campaign,.editorial,.lookbook").detach()})
.all,.cam,.edi,.loo,.por {cursor:pointer}
<script src="https://ajax.googleapis.com/ajax/libs/jquery/2.1.1/jquery.min.js"></script>
<div class=all>All</div>
<div class=cam>Campaign</div>
<div class=edi>Editorial</div>
<div class=loo>Lookbook</div>
<div class=por>Portrait</div><br>

<div class=campaign>CAMPAIGN</div>
<div class=editorial>EDITORIAL</div>
<div class=lookbook>LOOKBOOK</div>
<div class=portrait>PORTRAIT</div>
<div class=campaign>CAMPAIGN</div>
<div class=editorial>EDITORIAL</div>
<div class=lookbook>LOOKBOOK</div>
<div class=portrait>PORTRAIT</div>
<div class=campaign>CAMPAIGN</div>
<div class=editorial>EDITORIAL</div>
<div class=lookbook>LOOKBOOK</div>
<div class=portrait>PORTRAIT</div>
<div class=campaign>CAMPAIGN</div>
<div class=editorial>EDITORIAL</div>
<div class=lookbook>LOOKBOOK</div>
<div class=portrait>PORTRAIT</div>

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