Distillation alone does not remove harmful chemicals?

http://www.historyofwaterfilters.com/distillation-pc.html



The distillation process contains several elements that make it undesirable for purifying drinking water. First of all, while the vaporization process will strip water of salt, metals, and bacteria, the boiling point of most synthetic chemicals, including pesticides, herbicides, and chlorine solutions is lower than the boiling point of water. Synthetic chemicals are the major contaminants remaining after municipal treatment. Distillation does not remove these harmful chemicals.

Looks like distilling has to be combined with carbon filtration to remove things such as chlorine.