Summary

William Strunk, Jr. The Elements of Style — II. Elementary Rules of Usage

It is of course equally correct to write the above as two sentences each, replacing the semicolons by periods.
If a conjunction is inserted, the proper mark is a comma (Rule 4) .
Note that if the second clause is preceded by an adverb, such as accordingly, besides, so, then, therefore, or thus, and not by a conjunction, the semicolon is still required.
In general, however, it is best, in writing, to avoid using so in this manner; there is danger that the writer who uses it at all may use it too often.
Source: Wikisource

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