Yes, the fitting shown should screw into a companion fitting that makes up the other part of the compression fitting. By tightening them together, it causes the fitting shown to compress into the copper line and seal the connection.
"Do not walk behind me, for I may not lead. Do not walk ahead of me, for I may not follow. Do not walk beside me either. Just leave me alone, you're starting to freak me out."
1957 GMC 150
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