Please try instrumental variable!

the method of instrumental variables (IV) is used to estimate causal relationships when controlled experiments are not feasible.

Instrumental variable methods allow consistent estimation when the explanatory variables (covariates) are correlated with the error terms of a regression relationship.

In a statistical model, a parameter or variable is said to be endogenous when there is a correlation between the parameter or variable and the error term.

Stata provides "ivreg" comand.

同二楼三楼，内生性问题可以用工具变量解决；或者用PSM倾向值匹配方法