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JavaScript

var xml='<!--?xml version="1.0" encoding="UTF-8"?--><search-result><onward-solutions><solution index="1"></solution><solution index="2"></solution><solution index="3"></solution></onward-solutions><return-solutions><solution index="1"></solution><solution index="2"></solution><solution index="3"></solution></return-solutions></search-result>';

var $xml = $($.parseXML(xml).documentElement);

$xml.children('onward-solutions').remove();

xml = $xml.appendTo('<x></x>').parent().html();

console.log('xml=' + xml);