Horse meat
Actually horse meat is halal: Is horsemeat Halal?
Ahadith such as the following
Narrated Asma': We slaughtered a horse during the lifetime of Allah's Messenger (ﷺ) and ate it. -- Sahih al-Bukhari 5519 (sunnah.com; also Sahih Muslim 1942 a sunnah.com)
leads scholars to declare that one can eat horse meat. For example:
The majority of scholars are of the view that it is permissible to eat horses, because of the sound ahaadeeth that have been narrated concerning that. -- Islam Q&A
With a consistent fatawa given by IslamWeb.
Mufti Ebrahim Salejee instead described it as There are two opinions of it being halaal and being makrooh. Hence, it is safer not to eat it at Mufti Online, and likewise did Mohammed Tosir Miah at Darul Ifta Birmingham.
Camel meat
There's ahadith indicating permissibility of eating camel, e.g.:
Chapter: (Performing) wudu’ after eating camel meat: Jabir b. Samura reported: A man asked the Messenger of Allah ... Should I perform ablution (after eating) camel's flesh? He said: Yes, perform ablution (after eating) camel's flesh. ... -- Sahih Muslim 360 a (sunnah.com)
And fatawa describe the technicalities of performing wudu after eating camel (e.g. Islam Q&A, IslamWeb, AskImam). See also: Does eating camel's meat break the wudu?