"使用夸张语言的" can be translated into English as "using exaggerated language" or "employing hyperbolic expressions".
Here are some example sentences to illustrate the usage:
1、 He often uses exaggerated language to emphasize his points.
(他经常使用夸张的语言来强调他的观点。)
2、 The speaker was employing hyperbolic expressions to capture the audience's attention.
(演讲者使用夸张的语言来吸引听众的注意力。)