Remove instances of "the the"

Author: wch

docs/install-create-run.qmd

@@ -122,7 +122,7 @@ If you still find that too obtrusive and aren't used to working with type hints,
 
 In the above configuration, we also disable the `reportUnusedFunction` diagnostic, as it's idiomatic Shiny to create named functions that are never explicitly called by any code (i.e., `@reactive.effect`).
 
-You can also modify these settings on a per-file basis with comments at the top of the file. For example, you might have something like this at the the top of your `app.py`:
+You can also modify these settings on a per-file basis with comments at the top of the file. For example, you might have something like this at the top of your `app.py`:
 
 ```default
 # pyright: strict

docs/reactive-mutable.qmd

@@ -36,7 +36,7 @@ b
 
 If our goal is to end up with `a == [1, 2, 3]` and `b == [1, 2]`, then we've failed.
 
-Mutability can cause unexpected behavior in any Python program, but especially so in reactive programming. For example, if you modify a mutable object stored in a ` reactive.value`, or one returned from a `reactive.calc`, other consumers of those values will have their values changed. This can cause two different problems. First, the altered value will probably be unexpected. Second, even if the the change in value is expected and desired, it will not trigger downstream reactive objects to re-execute.
+Mutability can cause unexpected behavior in any Python program, but especially so in reactive programming. For example, if you modify a mutable object stored in a ` reactive.value`, or one returned from a `reactive.calc`, other consumers of those values will have their values changed. This can cause two different problems. First, the altered value will probably be unexpected. Second, even if the change in value is expected and desired, it will not trigger downstream reactive objects to re-execute.
 
 
 ## Solutions