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It is obvious to me that in a regression model with one constant and one regressor, where a problem of endogeneity exist, leads to both estimators being biased and inconsistent (since $b_1=y-b_0$) if we use OLS.

However, what about a multivariate case? If we use OLS to estimate the whole model, will also the estimators who do not suffer from endogeneity, be biased?

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