(often + in/at) to pretend ignorance of or fail to take action against something one ought to oppose
Parents connived at their daughters’ dishonesty
(often + with) to cooperate secretly or have a secret understanding; to conspire
conniving with certain unscrupulous elements to get the bill accepted
connivance noun
conniver noun
[French conniver from Latin conivēre, connivēre to close the eyes, connive, from con- + -nivēre (related to nictare to wink)]