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Hi there. I would say it's not the best way to do it like that. I'm not entirely sure how google would react to this. There are couple way to check it. Basically, google bots are very similar to any other bot, so, you can use, let's say, a facebook debugger, or check your MOZ tools, see what they say. If those tools are saying there are errors, then google most likely will say the same. Hope this helps.

I would proceed with changing 302 redirects to 301 redirects. A 302 redirect is a temporary redirect that passes 0% of link juice (ranking power). If you change to 301 you'll start passing link juice again, and may see a recovery in ranking in time. Here's some more info on redirects as it relates to SEO: https://moz.com/learn/seo/redirection