Changes
rv, the view and edit links on the first line were fine, you can edit the 2nd line or make it for yourself invisible with css (as some people do)
<div class="plainlinks template-documentation"><div style="padding-bottom:3px; border-bottom:1px solid #aaa; margin-bottom:1ex; "><span class="editsection">[[[{{{1|{{SUBJECTPAGENAME}}/doc}}}|view]]] [[{{fullurl:{{{1|{{SUBJECTPAGENAMEE}}/doc}}}|action=edit{{#ifexist: {{{1|{{SUBJECTSPACE}}:{{SUBJECTPAGENAMEE}}/doc}}} ||&preload=Template:Documentation/preload}}}} edit]]</span> <span style="font-size: 150%">Documentation</span></div>
<div id="template_doc_page_transcluded" class="dablink plainlinks">This [[Wikipedia:Template documentation|documentation]] is [[Wikipedia:Transclusion|transcluded]] from [[{{{1|{{FULLPAGENAME}}/doc}}}]] ''([{{fullurl:{{{1|{{SUBJECTPAGENAMEE}}/doc}}}|action=edit{{#ifexist: {{{1|{{SUBJECTSPACE}}:{{SUBJECTPAGENAMEE}}/doc}}} ||&preload=Template:Documentation/preload}}}} edit] • [{{fullurl:{{{1|{{SUBJECTPAGENAME}}/doc}}}|action=history}} history])''. {{#ifexist: {{#rel2abs: /sandbox }}| {{#ifexist: {{#rel2abs: /testcases}} |<br> This template has a [[/sandbox|sandbox]] ''([{{fullurl:{{FULLPAGENAME}}/sandbox|action=edit}} edit])'' and [[/testcases|testcases]] for editors to experiment.}}<!-- else don't show when just 1 of /sandbox or /testcases exists --> }} </div>{{{{{1|{{SUBJECTPAGENAME}}/doc}}}}}<br style="clear:both;" /></div>