Hello, I'd like to help you with your question.
While it's hard to say for sure what your ex's intentions are without being able to talk to her directly, it appears from what you described that either she is trying to let go of your relationship and is simply okay with leaving up pictures and information about your relationship on line, or she wants to see if you will continue to try to get her back and shows things like your photo with a kiss to encourage that behavior.
Since you have not spoken directly for 30 days and she is telling you verbally that she has a new relationship, then it is up to you to decide what you want to do. Hanging on to the relationship in hopes she will come back and even stay only hurts you. She may or may not be considering your feelings in all of this but why risk it? You deserve to be happy. So decide what works for you and makes you feel better. If you do decide to move on and look for another relationship, then it may be wise to end all ties to your ex so you can heal and won't have the past interfering in your new relationship.
I hope this has helped you,Kate
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Sorry about the misunderstanding. It sounds like she has made it clear that she wants to move on. But while she is saying that clearly, she could be trying to get you to "chase" her. That is not a game you want to play. It only shows someone that they can "leave" you to get your attention and to have you do something they want you to do in order to have a relationship.
While it is not clear if her new relationship is a rebound relationship, it seems that she is still wanting contact with you so that makes this new relationship questionable in how serious it really is.
How you handle the relationship depends on what you want. But staying with her at this point is only harming you. She has another relationship and has all the control over her relationship with you. You have few choices at this point. Ending the relationship totally without any contact will tell you a lot. If she tries to contact you again after you end all contact, then she is not over you. Or she wants you to play the game she set up. But if she doesn't contact you, you have the opportunity to move on and get into a better relationship. How you respond depends on what you want. If you want a relationship again, then let her know you want her to end the relationship she is in now and try again with you. But if not and she continues to stay in the other relationship but talks to you, then moving on is a better option for you.