Solve the Logarithmic Equation Below Algebraically $\ln ( x + 3 ) = \ln ( x + 1 ) - \ln ( x + 7 )$

Multiple Choice

Solve the logarithmic equation below algebraically.
$\ln ( x + 3 ) = \ln ( x + 1 ) - \ln ( x + 7 )$

A) $1$ and $6$
B) $- 5$ and $- 4$
C) $- 4$ and $1$
D) $- 4$ and $6$
E) $- 5$ and $1$