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The expression appears to be:

$\text{Determine exponential form: } 5 \cdot \ln(e^x) + \ln(1 + \ln(3x + 1)) \text{ = unknown}$

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Here are some related questions to consider:

1. What are the properties of logarithms that can simplify expressions involving natural logs?
2. How does the exponential function relate to logarithms, particularly $\ln(e^x)$?
3. What is the domain of functions like $\ln(3x + 1)$?
4. Can we expand or simplify $\ln(1 + \ln(3x + 1))$ further?
5. How do we apply chain rule differentiation to logarithmic functions?

Tip: When working with logarithmic and exponential expressions, always remember key identities like $\ln(e^x) = x$, which simplifies many equations instantly!