To include paragraphs in LaTeX without compromising aesthetics or using dashed lines, users can utilize the \mbox command to format text better. For longer paragraphs, the minipage environment is suggested, allowing for more text to be included neatly. Users are encouraged to escape math mode appropriately to maintain clarity in their documents. Additionally, incorporating text within mathematical expressions can be done using the \text command, enabling seamless integration of text and math. Overall, the discussion emphasizes finding methods to enhance the presentation of text in LaTeX, especially for complex equations and explanations.