First of all, I'd like to say that grammarians disagree to some extent whether some ing forms are gerunds or participles. Also, grammatical terminology varies somewhat from country to country. I'll give you what Scandinavian grammarians usually think of your examples.
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Laborious- "Despite the panic that ensued, Modi -- arriving minutes after the last blast -- went on
Laborious "Despite the panic that ensued, Modi -- arriving minutes after the last blast -- went on to address a more than well-attended rally."This is my opinions and my suggestions:
LaboriousCould you please tell me a little bit more about them (reduced clause and relative clause)? as I don't yet know what they actually are.You can find information about relative clauses by typing "relative clause" in the search box of EF or any search engine. The topic is far too broad to be discussed here in detail.