The provided expressions appear to be part of a multiple-choice problem, possibly requiring the evaluation or comparison of integrals or equations. However, the way the expressions are written needs clarification regarding their structure and formatting. Let me rewrite each option for better readability and interpretation:

Reformatted Options:

1. $I = \frac{7}{e - 1} \cdot \frac{2}{\ln(7) - 1}$
2. $I = \frac{2}{e + 1} \cdot \frac{7}{\ln(7) + 1}$
3. $I = \frac{7}{e + 1} \cdot \frac{2}{\ln(7) + 1}$
4. $I = \frac{2}{e - 1} \cdot \frac{7}{\ln(7) + 1}$
5. $I = \frac{7}{e - 1} \cdot \frac{2}{\ln(7) + 1}$
6. $I = \frac{2}{e - 1} \cdot \frac{7}{\ln(7) - 1}$

To analyze or compare these options, let me know if there is a specific goal, such as:

1. Finding which $I$ satisfies a given equation.
2. Ranking $I$ values by size.
3. Verifying the correctness of one or more $I$.
4. Any other mathematical task.

Would you like me to perform calculations for specific options or clarify their use?