这句话and后面的动词用对了吗？应该如何改？

没有错误,and连接的两个动词是is和conduces,词性和时态都一致,没有错误.

Taking exercise is closely related to health and conduces to good health.
这句话可以分解成下面两个句子.
Taking exercise is closely related to health
Taking exercise conduces to good health.
用and连接后,把重复的部分去掉,所以这句话里and 和conduce的用法都没有错误.

conduce to,导致, 有利于.

不对,因为 and前后的动词词性应该一致,
改为:Taking exercise is closely related to health and it conduces to good health.