The underlined phrase in the given sentence is <em>in order that.</em>
Subordinating conjunctions are conjunctions used to connect a subordinating (dependent) clause to the main (independent) clause.
<em>In order that</em> is an example of a subordinating conjunction. It is used to express the purpose or reason why the events described in the main clause take place. <em>The judge listened to the explanation</em> is the main clause. The subordinating clause introduced by the conjunction<em> in order that</em> explains why he listened to the explanation - because he wanted to decide fairly.
