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I came across a very neat parallel, but I wonder if I can use the structure today without setting off alarm in an editor's head.

A stretch of a series is any piece taken out of it, and not having any gaps.

Source: Whitehead & Russell. Principia Mathematica. Merchant Books, 1910.

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    Yes, it is perfectly fine to use a past participle and a present participle in parallel like that. You can expand the two participles to full relative clauses: “any piece which has been taken out of it, and which does not have any gaps”. The first clause is passive, the second active; hence the two different participles. – Janus Bahs Jacquet Sep 14 '14 at 16:24
  • @JanusBahsJacquet "She likes cooking, jogging, and reading." is OK. "She likes cooking, jogging, and to read." will annoy editors. – George Chen Sep 14 '14 at 16:26
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    Yes, but this is a completely different construction (see my edit). – Janus Bahs Jacquet Sep 14 '14 at 16:28
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    Instead of “and not having any gaps” I'd write “having no gaps” – James Waldby - jwpat7 Sep 14 '14 at 18:07
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In "cooking and to read", you are conjoining a participle and an infinitive. That's why it does not work.

In "taken and having", you are conjoining a participle and a participle. That's why it works just fine.

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