Chris73 - In my own situation when my W was still living at home I would make plans like yours and use almost identical phrasing "you're welcome to join me".

Often she would almost look like she was considering it but usually leave me hanging. I'd shrug my shoulders and go and do it anyway. I remember one more elaborate adventure (dinner and a movie) where I never heard back from her, sent her a text telling her when I would be buying my ticket for the movie, and that I was leaving for the restaurant.

She never joined me but I think she appreciated the courtesy. Since I never pushed it perhaps it wasn't pursuit?

So - don't expect a definitive answer and don't change your plans to accommodate her.

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