Minor grammar fixes

source/guide/distant-interactions.html.md

@@ -6,12 +6,12 @@ summary: 'How to interact with people, blogs and articles that are on a differen
 
 ## Interacting with people from other instances
 
-Due to its federated nature, other people using Plume are not necessary on the same instance as you.
+Due to its federated nature, other people using Plume do not necessarily have to be registered on the same instance as you.
 
 However, you can still interact with them (follow them, like their articles, comment on them…).
-If you try to interact with someone or something while not being on your instance,
+If you try to interact with someone, or something while not being on your home instance, then
 you will be prompted to either log in on the current instance,
-or to enter your full user name (in the `name@instance` format) to be redirected
+or to enter your full user name (in the `username@instance.tld` format) to be redirected
 to your own instance (where you are logged in).
 
 ## Entering the URL manually
@@ -22,7 +22,7 @@ The URL to enter for distant profiles is `https://your.instance/@/name@other.ins
 For blogs it is `https://your.instance/~/name@other.instance`
 (the only difference is that one uses `@`, while the other uses `~`).
 
-When opening a remote profile like that, Plume will fetch articles this person already published.
+When opening a remote profile like that, Plume will fetch articles this person has already published.
 However, it can take some time, so try to refresh the page a few times if no articles appears on the first try.
 Also note that old articles are not yet fetched when viewing a remote blog for the first time
 (this issue will probably be fixed sooner or later, see [#542](https://github.com/Plume-org/Plume/issues/542) for updates).