closing fractal cave entrances off with the openings?

I am having a problem getting my caves, using the default cave function, to give me a clean, straight "entrance". The line across the space of say a cave mouth fractalizes instead of allowing a straight or smooth curve line. I know...fractal, duh,...but I just want to know how to properly do the joining like I see in maps done by others.
I am attacking the steep learning curve of the uneducated, and learning fast. Yes, I am proud of that, but not so proud that I can afford to not ask for help from those who do know the right answers. LOL
Help.
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