Can my boyfriend grow up?

My boyfriend (32) has a gross apt. Cat hair all over carpet, doesn't own a vacuum, "trash can" is a plastic shopping bag hanging by the door, kitchen stuff just gets stored in the dishdrain permanently and kitchen drawers of full of random shit, beard trimmings all over bathroom sink, dirty shower, dirty dishes, little to no furniture other than bed, table, 1 chair. I am not a neat freak but enjoy decorating my living space and keeping it tidy. A good home space is very important to me. We've been dating for 4 months. I'd like to move in together if we are still together in 6 months. I am 40, so I recognize the age difference may be at play, but I am worried about his living space habits. He has made improvements since we started dating at my request (new towels, new shower head, rearranged a bit) but he is still lacking basics such as more chairs for his table, enough dishes, etc. He keeps saying he will get things for his house but hasn't. I lived with a slob once and won't do it again. Every time he comes to my place he says how much he loves how my home looks. He says that if we lived together, he would be tidier because he would want us both to enjoy the space, and on his own it doesn't matter as much to him. Is there hope?

Can my boyfriend grow up?
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