The romance between Twitter and Bing will continue. The two announced the renewal of their real-time search partnership, fittingly enough, via Twitter late yesterday. Over the course of their back-and-forth tweets, Twitter and Bing reminisced about their past two years of working together and agreed to continue their partnership, alluding to “bigger and better things” to come. Twitter and Microsoft first teamed up in 2009, making Bing the first major search engine to have access to Twitter’s “Firehose” of tweets. Google also partnered with the popular social media service, but…