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A1) Well, YES but in a different way; during the feudal era, they journey together with their friends to collect the rest of the sacred jewel shards, defeating their enemies, helping people and try to destroy their most arch enemy: Naraku. Even, spend time together in the modern era (Kagome's world). In the modern era, InuYasha and Kagome spend time shopping together in ep 90. InuYasha and Kagome are very much close with each other and spend more time together, more than InuYasha and Kikyo did. Even, despite that InuYasha still has feelings for Kikyo, his love feelings for Kagome is much more stronger and pure. So, YES they are dating. That means they're BOYFRIEND AND GIRLFRIEND.