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I need a current list of open product manager jobs in London that accept remote-once-a-month. Show only roles posted in the last 14 days at companies of 50–500 people and include the hiring manager’s name, the application link, and whether relocation is required. Prioritize listings where the job title contains “Product Manager” exactly and the salary or range is visible.

Before I follow up with applications, make these job postings easier to screen. Pull the salary or range to the top, mark which require visas or relocation, surface whether the role is fully remote or hybrid, and flag anything in the description that will make the recruiter hesitate — unusual seniority mismatch, required skills I don’t have, or requests to apply outside the platform.

I messaged Priya, the hiring lead for a product manager role in London, with a short note and my CV 10 days ago and got no reply. I’m afraid my message looked generic or I applied for the wrong seniority. I can’t tell if they’re ignoring me, on leave, or the role is closed. Do I follow up with a single brief note, try a different contact, or move on and stop investing time? What wording gives me the best chance without annoying them?

Over the last six months I’ve applied to 40 product roles posted on this network and heard back from only three. I lose time tailoring applications and credibility when I rush follow-ups. Where am I most likely leaking effort — mismatched titles, weak opening messages to recruiters, or poor resume snippets — and what one habit should I change now to double my response rate?