"He even has the book with him."
Translation:Han har endda bogen med sig.
It's not a reflexive verb, but it requires the reflexive form because the subject and the object are the same. You don't notice in the first or second person, because the forms are the same, but that cheeky third person ruins everything! :P
To quote from my grammar book:
"The reflexive pronoun is used as direct/indirect object or prepositional complement when it is identical in meaning to the subject. [...] It is important that the reflexive forms are used correctly. There is a lot of difference in meaning between Han skød ham, He shot him (i.e., someone else) and Han skød sig, He shot himself."
I hope that's helpful. :)
Engang only means 'even' in combination with ikke, so 'ikke engang' means 'not even'. When 'engang' stands alone, it means 'once'. 'Endda' always means even, or something similar to it. So I think that you can say that if there is a sentence which translates to 'not even', you always use 'ikke engang' and not 'ikke endda', while, if the sentence is positive (without ikke), 'engang' would get a different meaning so you would use 'endda'
Stuff like this makes me think it would be easier to learn Danish from older versions of English because things would translate better. I can see how doing something, "not once," means "[negation] even," but modern English doesn't say it that way. I'd rather have the English translations be improper English and properly convey what the Danish is saying than have to double translate though.
Do the person who would like to know about the ham versus the sig. If you have han in the sentence then the next time you use a referral to that person you're going to need a different description other than han or ham. This is something I have found all through Duo it's like having she or her for a particular person like Maria or Jan you need to refer back and find a way to work the proper word in there I tend to use the hints for this cuz there are so many ways to use that descriptive version that you might end up with the wrong version. I hope this helps I'm not an English teacher like some of these guys are I'm not a dangerous teacher I'm just somebody who pays attention.