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Software developer.
Web developers create web software. This is mainly websites and web applications.
Software developers make software which is much less specific. Software developers might do web development but there are many other kinds of software. Software includes application software that gets downloaded and installed into specific operating systems. Installed games, installed word processors, browser extensions... It could include making mobile applications. It could even include developing operating systems, and embedded software for cars, microwaves...
Software developer and software engineer has a pretty similar meaning.