Including this information in the post can scare people off, even the ones who have no other pets and may be perfect for the dog. I remember thinking exactly that years ago when my husband and I were looking to adopt a dog-- I thought, well, my neighbor has a dog; will it be safe with a dog next door? When someone hears, "no other dogs," they fill in the blanks themselves, and usually with the worst possible alternative. Say a dog is fine playing with other dogs outside the house but can't live with one. Just hearing "no other dogs," might cause them to fill in the blanks with, "this dog will hurt any other dog it gets near," which would make most potential adopters too wary to inquire further.
Marketing pets for adoption is all about making emotional connections, and caveats like that act as barriers to making that connection. Once the connection is made and an inquiry takes place, you're able to have a 1-on-1 conversation with a potential adopter about what the issue really is, so they're not filling in the blanks and they have the information in context.
I've been there, and I know how time-consuming it can be to get inquiries that aren't going anywhere. The good thing is, most inquiries nowadays come in the form of email, which makes it really easy to create a template you send to potential adopters who, for example, tell you they have toddlers when the dog they're asking about isn't a good fit for kids. This way you can use the opportunity to introduce some other of your organization's dogs that ARE a great fit for their family and save yourself some time. We got several dogs adopted this way during the behavioral foster study in Fairfax.
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