Is it possible to love two people at the same time?

My boyfriend and I have been dating for one and a half years, I love him a lot and he convinces me that he loves me even more. I recently found out that he's been stalking his ex girlfriend. I confronted him about it and he said he misses her. He confessed to talking to her anonymously since last year Dec. He says he loves both of us and he wants space to figure out things since I told him I can't continue being with him if he's still with her. This situation is confusing to me.

Is it possible to love two people at the same time?
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