weigh down vs drag down

weigh down and drag down both are verbs.

Word	Noun	Adjective	Verb	Adverb
weigh down	No	No	Yes	No
drag down	No	No	Yes	No

As verbs, weigh down and drag down are synonyms defined as:

Other synonyms of weigh down include bear down, bear down on, press down on.

weigh down (verb)	drag down (verb)
exert a force with a heavy weight	exert a force with a heavy weight
be oppressive or disheartening to