I am running an OLS regression of the form
$$\log\left(Y\right)=x_0 + \left(\frac{x_1}{Y}\right)\beta_1+\log (x_2)\beta_2 + \epsilon$$
I have one covariate as $\left(\frac{x_1}{Y}\right)$ which is a fraction $\in [0,1]$ and it involves the dependent variable in the denominator.
Let's say $\beta_1$ is 1.31. I was wondering how would I interpret this coefficient in terms of unit change in the independent variable causing a change in the dependent variable, as the dependent variable also appears in the denominator of one of the covariates? Any help is greatly appreciated.